56239142400 has 1440 divisors, whose sum is σ = 249020624160. Its totient is φ = 12541132800.

The previous prime is 56239142389. The next prime is 56239142413. The reversal of 56239142400 is 424193265.

It is a happy number.

56239142400 is a `hidden beast` number, since 5 + 6 + 239 + 14 + 2 + 400 = 666.

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

It is a super-2 number, since 2×56239142400² (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 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 143 ways as a sum of consecutive naturals, for example, 1371686380 + ... + 1371686420.

It is an arithmetic number, because the mean of its divisors is an integer number (172930989).

Almost surely, 2^56239142400 is an apocalyptic number.

56239142400 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 56239142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124510312080).

56239142400 is an abundant number, since it is smaller than the sum of its proper divisors (192781481760).

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

56239142400 is an frugal number, since it uses more digits than its factorization.

56239142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

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

The spelling of 56239142400 in words is "fifty-six billion, two hundred thirty-nine million, one hundred forty-two thousand, four hundred".