51312975600 has 120 divisors (see below), whose sum is σ = 164649283200. Its totient is φ = 13660424960.

The previous prime is 51312975599. The next prime is 51312975617. The reversal of 51312975600 is 657921315.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683107 + ... + 754493.

It is an arithmetic number, because the mean of its divisors is an integer number (1372077360).

Almost surely, 2^51312975600 is an apocalyptic number.

51312975600 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 51312975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82324641600).

51312975600 is an abundant number, since it is smaller than the sum of its proper divisors (113336307600).

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

51312975600 is a wasteful number, since it uses less digits than its factorization.

51312975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72007 (or 71996 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 51312975600 in words is "fifty-one billion, three hundred twelve million, nine hundred seventy-five thousand, six hundred".