56312942400 has 2016 divisors, whose sum is σ = 260015857920. Its totient is φ = 11354112000.

The previous prime is 56312942393. The next prime is 56312942407. The reversal of 56312942400 is 424921365.

It is a happy number.

56312942400 is a `hidden beast` number, since 563 + 1 + 2 + 94 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56312942393) and next prime (56312942407).

It is a super-2 number, since 2×56312942400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56312942407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1373486380 + ... + 1373486420.

It is an arithmetic number, because the mean of its divisors is an integer number (128976120).

Almost surely, 2^56312942400 is an apocalyptic number.

56312942400 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 56312942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130007928960).

56312942400 is an abundant number, since it is smaller than the sum of its proper divisors (203702915520).

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

56312942400 is a wasteful number, since it uses less digits than its factorization.

56312942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

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

The spelling of 56312942400 in words is "fifty-six billion, three hundred twelve million, nine hundred forty-two thousand, four hundred".