51521252428800 has 3960 divisors, whose sum is σ = 250077096327168. Its totient is φ = 10353401856000.

The previous prime is 51521252428759. The next prime is 51521252428837. The reversal of 51521252428800 is 882425212515.

51521252428800 is a `hidden beast` number, since 5 + 1 + 5 + 21 + 2 + 524 + 28 + 80 + 0 = 666.

51521252428800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 359 ways as a sum of consecutive naturals, for example, 34647781657 + ... + 34647783143.

Almost surely, 2^{51521252428800} is an apocalyptic number.

51521252428800 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 51521252428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038548163584).

51521252428800 is an abundant number, since it is smaller than the sum of its proper divisors (198555843898368).

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

51521252428800 is a wasteful number, since it uses less digits than its factorization.

51521252428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 51521252428800 in words is "fifty-one trillion, five hundred twenty-one billion, two hundred fifty-two million, four hundred twenty-eight thousand, eight hundred".