10692576960 has 224 divisors, whose sum is σ = 37453897152. Its totient is φ = 2567700480.

The previous prime is 10692576953. The next prime is 10692577003. The reversal of 10692576960 is 6967529601.

10692576960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10692576960² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501232 + ... + 522128.

It is an arithmetic number, because the mean of its divisors is an integer number (167204898).

Almost surely, 2^10692576960 is an apocalyptic number.

10692576960 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 10692576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726948576).

10692576960 is an abundant number, since it is smaller than the sum of its proper divisors (26761320192).

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

10692576960 is a wasteful number, since it uses less digits than its factorization.

10692576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20971 (or 20961 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 10692576960 in words is "ten billion, six hundred ninety-two million, five hundred seventy-six thousand, nine hundred sixty".