56314893600 has 1440 divisors, whose sum is σ = 254537458560. Its totient is φ = 11824496640.

The previous prime is 56314893599. The next prime is 56314893637. The reversal of 56314893600 is 639841365.

56314893600 is a `hidden beast` number, since 5 + 6 + 31 + 4 + 8 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 516650346 + ... + 516650454.

It is an arithmetic number, because the mean of its divisors is an integer number (176762124).

Almost surely, 2^56314893600 is an apocalyptic number.

56314893600 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 56314893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127268729280).

56314893600 is an abundant number, since it is smaller than the sum of its proper divisors (198222564960).

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

56314893600 is a wasteful number, since it uses less digits than its factorization.

56314893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56314893600 in words is "fifty-six billion, three hundred fourteen million, eight hundred ninety-three thousand, six hundred".