10931974560 has 432 divisors, whose sum is σ = 41815683000. Its totient is φ = 2596478976.

The previous prime is 10931974549. The next prime is 10931974567. The reversal of 10931974560 is 6547913901.

10931974560 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 19 + 74 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 209786256 + 10722188304 = 14484^2 + 103548^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10931974567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7056666 + ... + 7058214.

Almost surely, 2^10931974560 is an apocalyptic number.

10931974560 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 10931974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20907841500).

10931974560 is an abundant number, since it is smaller than the sum of its proper divisors (30883708440).

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

10931974560 is a wasteful number, since it uses less digits than its factorization.

10931974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10931974560 in words is "ten billion, nine hundred thirty-one million, nine hundred seventy-four thousand, five hundred sixty".