56314368000 has 936 divisors, whose sum is σ = 225349546968. Its totient is φ = 13516800000.

The previous prime is 56314367987. The next prime is 56314368029. The reversal of 56314368000 is 86341365.

56314368000 is a `hidden beast` number, since 563 + 14 + 3 + 6 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 361304064 + 55953063936 = 19008^2 + 236544^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557567950 + ... + 557568050.

It is an arithmetic number, because the mean of its divisors is an integer number (240758063).

Almost surely, 2^56314368000 is an apocalyptic number.

56314368000 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 56314368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112674773484).

56314368000 is an abundant number, since it is smaller than the sum of its proper divisors (169035178968).

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

56314368000 is a wasteful number, since it uses less digits than its factorization.

56314368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56314368000 in words is "fifty-six billion, three hundred fourteen million, three hundred sixty-eight thousand".