56338027200 has 1680 divisors, whose sum is σ = 270826041024. Its totient is φ = 11147673600.

The previous prime is 56338027177. The next prime is 56338027219. The reversal of 56338027200 is 272083365.

56338027200 is a `hidden beast` number, since 5 + 6 + 3 + 380 + 272 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200491060 + ... + 200491340.

Almost surely, 2^56338027200 is an apocalyptic number.

56338027200 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 56338027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135413020512).

56338027200 is an abundant number, since it is smaller than the sum of its proper divisors (214488013824).

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

56338027200 is a wasteful number, since it uses less digits than its factorization.

56338027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 56338027200 in words is "fifty-six billion, three hundred thirty-eight million, twenty-seven thousand, two hundred".