10982925072 has 720 divisors, whose sum is σ = 41017017600. Its totient is φ = 2717245440.

The previous prime is 10982925071. The next prime is 10982925077. The reversal of 10982925072 is 27052928901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10982925071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139024329 + ... + 139024407.

It is an arithmetic number, because the mean of its divisors is an integer number (56968080).

Almost surely, 2^10982925072 is an apocalyptic number.

10982925072 is a gapful number since it is divisible by the number (12) 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 10982925072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508508800).

10982925072 is an abundant number, since it is smaller than the sum of its proper divisors (30034092528).

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

10982925072 is a wasteful number, since it uses less digits than its factorization.

10982925072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10982925072 in words is "ten billion, nine hundred eighty-two million, nine hundred twenty-five thousand, seventy-two".