1005600055560 has 128 divisors (see below), whose sum is σ = 3135665796480. Its totient is φ = 257768828928.

The previous prime is 1005600055553. The next prime is 1005600055583. The reversal of 1005600055560 is 655500065001.

It is a super-2 number, since 2×1005600055560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995857 + ... + 1732896.

It is an arithmetic number, because the mean of its divisors is an integer number (24497389035).

Almost surely, 2^{1005600055560} is an apocalyptic number.

1005600055560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005600055560 is an abundant number, since it is smaller than the sum of its proper divisors (2130065740920).

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

1005600055560 is a wasteful number, since it uses less digits than its factorization.

1005600055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728887 (or 2728883 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1005600055560 in words is "one trillion, five billion, six hundred million, fifty-five thousand, five hundred sixty".