56641251513300 has 288 divisors, whose sum is σ = 174293919475200. Its totient is φ = 14161936320000.

The previous prime is 56641251513299. The next prime is 56641251513313. The reversal of 56641251513300 is 331515214665.

It is a happy number.

56641251513300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 215151750 + ... + 215414850.

It is an arithmetic number, because the mean of its divisors is an integer number (605187220400).

Almost surely, 2^{56641251513300} is an apocalyptic number.

56641251513300 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 56641251513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87146959737600).

56641251513300 is an abundant number, since it is smaller than the sum of its proper divisors (117652667961900).

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

56641251513300 is a wasteful number, since it uses less digits than its factorization.

56641251513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263527 (or 263520 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

Adding to 56641251513300 its reverse (331515214665), we get a palindrome (56972766727965).

The spelling of 56641251513300 in words is "fifty-six trillion, six hundred forty-one billion, two hundred fifty-one million, five hundred thirteen thousand, three hundred".