1056101100560 has 40 divisors (see below), whose sum is σ = 2678656430016. Its totient is φ = 384036763520.

The previous prime is 1056101100557. The next prime is 1056101100581. The reversal of 1056101100560 is 650011016501.

1056101100560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1056101100560² (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 7 ways as a sum of consecutive naturals, for example, 600056564 + ... + 600058323.

Almost surely, 2^{1056101100560} is an apocalyptic number.

1056101100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056101100560 is an abundant number, since it is smaller than the sum of its proper divisors (1622555329456).

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

1056101100560 is a wasteful number, since it uses less digits than its factorization.

1056101100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200114911 (or 1200114905 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 1056101100560 in words is "one trillion, fifty-six billion, one hundred one million, one hundred thousand, five hundred sixty".