56314699200 has 840 divisors, whose sum is σ = 217319376384. Its totient is φ = 14287104000.

The previous prime is 56314699153. The next prime is 56314699213. The reversal of 56314699200 is 299641365.

56314699200 is a `hidden beast` number, since 5 + 631 + 4 + 6 + 9 + 9 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 429883135 + ... + 429883265.

Almost surely, 2^56314699200 is an apocalyptic number.

56314699200 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 56314699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108659688192).

56314699200 is an abundant number, since it is smaller than the sum of its proper divisors (161004677184).

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

56314699200 is a wasteful number, since it uses less digits than its factorization.

56314699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 56314699200 in words is "fifty-six billion, three hundred fourteen million, six hundred ninety-nine thousand, two hundred".