51805942272 has 270 divisors, whose sum is σ = 174290004603. Its totient is φ = 14770796544.

The previous prime is 51805942219. The next prime is 51805942291. The reversal of 51805942272 is 27224950815.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

51805942272 is a `hidden beast` number, since 51 + 8 + 0 + 594 + 2 + 2 + 7 + 2 = 666.

51805942272 is digitally balanced in base 2, 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 only one way, i.e., 25902971136 + 25902971136 = 160944^2 + 160944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=160944.

It is a super-3 number, since 3×51805942272³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108154129 + ... + 108154607.

Almost surely, 2^51805942272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51805942272

51805942272 is an abundant number, since it is smaller than the sum of its proper divisors (122484062331).

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

51805942272 is an frugal number, since it uses more digits than its factorization.

51805942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51805942272 in words is "fifty-one billion, eight hundred five million, nine hundred forty-two thousand, two hundred seventy-two".