8921088000000 has 1260 divisors, whose sum is σ = 35409432983925. Its totient is φ = 2162688000000.

The previous prime is 8921087999983. The next prime is 8921088000073. The reversal of 8921088000000 is 8801298.

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 4 ways, for example, as 1521295294464 + 7399792705536 = 1233408^2 + 2720256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2112000.

It is a super-2 number, since 2×8921088000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 811007999995 + ... + 811008000005.

Almost surely, 2^{8921088000000} is an apocalyptic number.

8921088000000 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 8921088000000

8921088000000 is an abundant number, since it is smaller than the sum of its proper divisors (26488344983925).

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

8921088000000 is an frugal number, since it uses more digits than its factorization.

8921088000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 8921088000000 in words is "eight trillion, nine hundred twenty-one billion, eighty-eight million", and thus it is an aban number.