56311240867200 has 1536 divisors, whose sum is σ = 233749914048000. Its totient is φ = 13118865408000.

The previous prime is 56311240867177. The next prime is 56311240867229. The reversal of 56311240867200 is 276804211365.

56311240867200 is a `hidden beast` number, since 5 + 6 + 31 + 1 + 2 + 408 + 6 + 7 + 200 = 666.

56311240867200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2610738016 + ... + 2610759584.

It is an arithmetic number, because the mean of its divisors is an integer number (152180933625).

Almost surely, 2^{56311240867200} is an apocalyptic number.

56311240867200 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 56311240867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116874957024000).

56311240867200 is an abundant number, since it is smaller than the sum of its proper divisors (177438673180800).

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

56311240867200 is a wasteful number, since it uses less digits than its factorization.

56311240867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21721 (or 21698 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56311240867200 in words is "fifty-six trillion, three hundred eleven billion, two hundred forty million, eight hundred sixty-seven thousand, two hundred".