51509859571200 has 240 divisors, whose sum is σ = 170554458387456. Its totient is φ = 13704088166400.

The previous prime is 51509859571189. The next prime is 51509859571207. The reversal of 51509859571200 is 217595890515.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51509859571207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14994249 + ... + 18106551.

Almost surely, 2^{51509859571200} is an apocalyptic number.

51509859571200 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 51509859571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85277229193728).

51509859571200 is an abundant number, since it is smaller than the sum of its proper divisors (119044598816256).

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

51509859571200 is a wasteful number, since it uses less digits than its factorization.

51509859571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112765 (or 3112744 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 57.

The spelling of 51509859571200 in words is "fifty-one trillion, five hundred nine billion, eight hundred fifty-nine million, five hundred seventy-one thousand, two hundred".