56616159217200 has 480 divisors, whose sum is σ = 201071079627264. Its totient is φ = 13502361600000.

The previous prime is 56616159217187. The next prime is 56616159217201. The reversal of 56616159217200 is 271295161665.

It is not an unprimeable number, because it can be changed into a prime (56616159217201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431983680 + ... + 432114720.

Almost surely, 2^{56616159217200} is an apocalyptic number.

56616159217200 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 56616159217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100535539813632).

56616159217200 is an abundant number, since it is smaller than the sum of its proper divisors (144454920410064).

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

56616159217200 is a wasteful number, since it uses less digits than its factorization.

56616159217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131605 (or 131594 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 56616159217200 in words is "fifty-six trillion, six hundred sixteen billion, one hundred fifty-nine million, two hundred seventeen thousand, two hundred".