51250501542400 has 120 divisors (see below), whose sum is σ = 127829321720100. Its totient is φ = 20362614620160.

The previous prime is 51250501542397. The next prime is 51250501542511. The reversal of 51250501542400 is 424510505215.

51250501542400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 22500830198016 + 28749671344384 = 4743504^2 + 5361872^2 .

It is a super-2 number, since 2×51250501542400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11528859 + ... + 15343258.

Almost surely, 2^{51250501542400} is an apocalyptic number.

51250501542400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51250501542400 is an abundant number, since it is smaller than the sum of its proper divisors (76578820177700).

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

51250501542400 is a wasteful number, since it uses less digits than its factorization.

51250501542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26872294 (or 26872273 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 51250501542400 in words is "fifty-one trillion, two hundred fifty billion, five hundred one million, five hundred forty-two thousand, four hundred".