51312202400 has 72 divisors (see below), whose sum is σ = 126673572060. Its totient is φ = 20294236160.

The previous prime is 51312202393. The next prime is 51312202421. The reversal of 51312202400 is 420221315.

It can be written as a sum of positive squares in 6 ways, for example, as 15526156816 + 35786045584 = 124604^2 + 189172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 289139 + ... + 431538.

Almost surely, 2^51312202400 is an apocalyptic number.

51312202400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51312202400 is an abundant number, since it is smaller than the sum of its proper divisors (75361369660).

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

51312202400 is a wasteful number, since it uses less digits than its factorization.

51312202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720786 (or 720773 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 51312202400 its reverse (420221315), we get a palindrome (51732423715).

The spelling of 51312202400 in words is "fifty-one billion, three hundred twelve million, two hundred two thousand, four hundred".