56343777600 has 672 divisors, whose sum is σ = 209572872192. Its totient is φ = 13132800000.

The previous prime is 56343777599. The next prime is 56343777629. The reversal of 56343777600 is 677734365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56343777600.

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, 294993505 + ... + 294993695.

Almost surely, 2^56343777600 is an apocalyptic number.

56343777600 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 56343777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104786436096).

56343777600 is an abundant number, since it is smaller than the sum of its proper divisors (153229094592).

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

56343777600 is a wasteful number, since it uses less digits than its factorization.

56343777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 56343777600 in words is "fifty-six billion, three hundred forty-three million, seven hundred seventy-seven thousand, six hundred".