10562680960 has 128 divisors (see below), whose sum is σ = 27242127360. Its totient is φ = 3893145600.

The previous prime is 10562680939. The next prime is 10562680993. The reversal of 10562680960 is 6908626501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10562680960² (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 15 ways as a sum of consecutive naturals, for example, 9176385 + ... + 9177535.

It is an arithmetic number, because the mean of its divisors is an integer number (212829120).

Almost surely, 2^10562680960 is an apocalyptic number.

10562680960 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 10562680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621063680).

10562680960 is an abundant number, since it is smaller than the sum of its proper divisors (16679446400).

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

10562680960 is a wasteful number, since it uses less digits than its factorization.

10562680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10562680960 in words is "ten billion, five hundred sixty-two million, six hundred eighty thousand, nine hundred sixty".