11070082820 has 48 divisors (see below), whose sum is σ = 23852462256. Its totient is φ = 4313088000.

The previous prime is 11070082769. The next prime is 11070082823. The reversal of 11070082820 is 2828007011.

It can be written as a sum of positive squares in 8 ways, for example, as 587189824 + 10482892996 = 24232^2 + 102386^2 .

It is not an unprimeable number, because it can be changed into a prime (11070082823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515090 + ... + 536150.

It is an arithmetic number, because the mean of its divisors is an integer number (496926297).

Almost surely, 2^11070082820 is an apocalyptic number.

11070082820 is a gapful number since it is divisible by the number (10) 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 11070082820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926231128).

11070082820 is an abundant number, since it is smaller than the sum of its proper divisors (12782379436).

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

11070082820 is a wasteful number, since it uses less digits than its factorization.

11070082820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752 (or 21750 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

Adding to 11070082820 its reverse (2828007011), we get a palindrome (13898089831).

The spelling of 11070082820 in words is "eleven billion, seventy million, eighty-two thousand, eight hundred twenty".