56150879616000 has 3520 divisors, whose sum is σ = 239921437916160. Its totient is φ = 12954392985600.

The previous prime is 56150879615989. The next prime is 56150879616017. The reversal of 56150879616000 is 61697805165.

56150879616000 is a `hidden beast` number, since 5 + 6 + 1 + 508 + 79 + 6 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 182901887847 + ... + 182901888153.

It is an arithmetic number, because the mean of its divisors is an integer number (68159499408).

Almost surely, 2^{56150879616000} is an apocalyptic number.

56150879616000 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 56150879616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119960718958080).

56150879616000 is an abundant number, since it is smaller than the sum of its proper divisors (183770558300160).

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

56150879616000 is a wasteful number, since it uses less digits than its factorization.

56150879616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 56150879616000 in words is "fifty-six trillion, one hundred fifty billion, eight hundred seventy-nine million, six hundred sixteen thousand".