56627000156160 has 1120 divisors, whose sum is σ = 238280800348800. Its totient is φ = 12593303912448.

The previous prime is 56627000156147. The next prime is 56627000156201. The reversal of 56627000156160 is 6165100072665.

56627000156160 is a `hidden beast` number, since 5 + 6 + 6 + 27 + 0 + 0 + 0 + 1 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 859266891 + ... + 859332789.

Almost surely, 2^{56627000156160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56627000156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119140400174400).

56627000156160 is an abundant number, since it is smaller than the sum of its proper divisors (181653800192640).

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

56627000156160 is an equidigital number, since it uses as much as digits as its factorization.

56627000156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65986 (or 65953 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56627000156160 in words is "fifty-six trillion, six hundred twenty-seven billion, one hundred fifty-six thousand, one hundred sixty".