10005610560 has 112 divisors (see below), whose sum is σ = 34655833152. Its totient is φ = 2425600000.

The previous prime is 10005610547. The next prime is 10005610619. The reversal of 10005610560 is 6501650001.

It is a super-2 number, since 2×10005610560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10005610560.

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, 463191 + ... + 484310.

Almost surely, 2^10005610560 is an apocalyptic number.

10005610560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005610560 is an abundant number, since it is smaller than the sum of its proper divisors (24650222592).

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

10005610560 is a wasteful number, since it uses less digits than its factorization.

10005610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947532 (or 947522 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10005610560 in words is "ten billion, five million, six hundred ten thousand, five hundred sixty".