51345874137600 has 2160 divisors, whose sum is σ = 222617453274216. Its totient is φ = 11259150336000.

The previous prime is 51345874137581. The next prime is 51345874137631. The reversal of 51345874137600 is 673147854315.

51345874137600 is a `hidden beast` number, since 5 + 13 + 4 + 5 + 8 + 7 + 4 + 13 + 7 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18499770890496 + 32846103247104 = 4301136^2 + 5731152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14117642982 + ... + 14117646618.

Almost surely, 2^{51345874137600} is an apocalyptic number.

51345874137600 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 51345874137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111308726637108).

51345874137600 is an abundant number, since it is smaller than the sum of its proper divisors (171271579136616).

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

51345874137600 is a wasteful number, since it uses less digits than its factorization.

51345874137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 51345874137600 in words is "fifty-one trillion, three hundred forty-five billion, eight hundred seventy-four million, one hundred thirty-seven thousand, six hundred".