56401001395200 has 4752 divisors, whose sum is σ = 269775505584000. Its totient is φ = 11588006707200.

The previous prime is 56401001395133. The next prime is 56401001395229. The reversal of 56401001395200 is 259310010465.

56401001395200 is a `hidden beast` number, since 5 + 64 + 0 + 1 + 0 + 0 + 1 + 395 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 431 ways as a sum of consecutive naturals, for example, 633719116756 + ... + 633719116844.

Almost surely, 2^{56401001395200} is an apocalyptic number.

56401001395200 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 56401001395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134887752792000).

56401001395200 is an abundant number, since it is smaller than the sum of its proper divisors (213374504188800).

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

56401001395200 is an frugal number, since it uses more digits than its factorization.

56401001395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56401001395200 in words is "fifty-six trillion, four hundred one billion, one million, three hundred ninety-five thousand, two hundred".