56053656086400 has 2304 divisors, whose sum is σ = 249120512409600. Its totient is φ = 11711327846400.

The previous prime is 56053656086383. The next prime is 56053656086401. The reversal of 56053656086400 is 468065635065.

56053656086400 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 36 + 560 + 8 + 6 + 40 + 0 = 666.

56053656086400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56053656086401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64952092369 + ... + 64952093231.

It is an arithmetic number, because the mean of its divisors is an integer number (108125222400).

Almost surely, 2^{56053656086400} is an apocalyptic number.

56053656086400 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 56053656086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124560256204800).

56053656086400 is an abundant number, since it is smaller than the sum of its proper divisors (193066856323200).

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

56053656086400 is a wasteful number, since it uses less digits than its factorization.

56053656086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 56053656086400 in words is "fifty-six trillion, fifty-three billion, six hundred fifty-six million, eighty-six thousand, four hundred".