10680596160 has 448 divisors, whose sum is σ = 39708856320. Its totient is φ = 2408693760.

The previous prime is 10680596131. The next prime is 10680596197. The reversal of 10680596160 is 6169508601.

It is a happy number.

It is a super-2 number, since 2×10680596160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7349994 + ... + 7351446.

It is an arithmetic number, because the mean of its divisors is an integer number (88635840).

Almost surely, 2^10680596160 is an apocalyptic number.

10680596160 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 10680596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854428160).

10680596160 is an abundant number, since it is smaller than the sum of its proper divisors (29028260160).

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

10680596160 is a wasteful number, since it uses less digits than its factorization.

10680596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10680596160 in words is "ten billion, six hundred eighty million, five hundred ninety-six thousand, one hundred sixty".