56661100060900 has 72 divisors (see below), whose sum is σ = 129446593325280. Its totient is φ = 21468138647040.

The previous prime is 56661100060879. The next prime is 56661100060967. The reversal of 56661100060900 is 906000116665.

It is a super-2 number, since 2×56661100060900² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9505239 + ... + 14271361.

It is an arithmetic number, because the mean of its divisors is an integer number (1797869351740).

Almost surely, 2^{56661100060900} is an apocalyptic number.

56661100060900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56661100060900 is an abundant number, since it is smaller than the sum of its proper divisors (72785493264380).

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

56661100060900 is a wasteful number, since it uses less digits than its factorization.

56661100060900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772413 (or 4772406 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 56661100060900 in words is "fifty-six trillion, six hundred sixty-one billion, one hundred million, sixty thousand, nine hundred".