Search a number
8820000000000 = 2113251072

8820000000000 has 1188 divisors, whose sum is σ = 37040953831245. Its totient is φ = 2016000000000.

The previous prime is 8819999999977. The next prime is 8820000000011. The reversal of 8820000000000 is 288.

Multipling 8820000000000 by its sum of digits (18), we get a square (158760000000000 = 126000002).

8820000000000 divided by its sum of digits (18) gives a square (490000000000 = 7000002).

8820000000000 divided by its product of nonzero digits (128) gives a square (68906250000 = 2625002).

Adding to 8820000000000 its reverse (288), we get a palindrome (8820000000288).

8820000000000 divided by its reverse (288) gives a square (30625000000 = 1750002).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 5076982342656 + 3743017657344 = 2253216^2 + 1934688^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2100000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1259999999997 + ... + 1260000000003.

Almost surely, 28820000000000 is an apocalyptic number.

8820000000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820000000000

8820000000000 is an abundant number, since it is smaller than the sum of its proper divisors (28220953831245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8820000000000 is an frugal number, since it uses more digits than its factorization.

8820000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 8820000000000 in words is "eight trillion, eight hundred twenty billion", and thus it is an aban number.