56250182016000 has 1056 divisors, whose sum is σ = 233911579020288. Its totient is φ = 12732169420800.

The previous prime is 56250182015999. The next prime is 56250182016013. The reversal of 56250182016000 is 61028105265.

56250182016000 is a `hidden beast` number, since 5 + 6 + 25 + 0 + 1 + 8 + 20 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 830558139 + ... + 830625861.

Almost surely, 2^{56250182016000} is an apocalyptic number.

56250182016000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56250182016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116955789510144).

56250182016000 is an abundant number, since it is smaller than the sum of its proper divisors (177661397004288).

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

56250182016000 is a wasteful number, since it uses less digits than its factorization.

56250182016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67874 (or 67843 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 56250182016000 in words is "fifty-six trillion, two hundred fifty billion, one hundred eighty-two million, sixteen thousand".