56513260003200 has 4608 divisors, whose sum is σ = 269403517071360. Its totient is φ = 10218700800000.

The previous prime is 56513260003181. The next prime is 56513260003243. The reversal of 56513260003200 is 230006231565.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 85496610870 + ... + 85496611530.

It is an arithmetic number, because the mean of its divisors is an integer number (58464304920).

Almost surely, 2^{56513260003200} is an apocalyptic number.

56513260003200 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 56513260003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134701758535680).

56513260003200 is an abundant number, since it is smaller than the sum of its proper divisors (212890257068160).

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

56513260003200 is a wasteful number, since it uses less digits than its factorization.

56513260003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 56513260003200 its reverse (230006231565), we get a palindrome (56743266234765).

The spelling of 56513260003200 in words is "fifty-six trillion, five hundred thirteen billion, two hundred sixty million, three thousand, two hundred".