51930286866432 has 660 divisors, whose sum is σ = 167809337609620. Its totient is φ = 15974679969792.

The previous prime is 51930286866427. The next prime is 51930286866463. The reversal of 51930286866432 is 23466868203915.

51930286866432 is a `hidden beast` number, since 5 + 19 + 30 + 2 + 86 + 86 + 6 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17371690500096 + 34558596366336 = 4167936^2 + 5878656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51930286866432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 12576962544 + ... + 12576966672.

Almost surely, 2^{51930286866432} is an apocalyptic number.

51930286866432 is a gapful number since it is divisible by the number (52) 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 51930286866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83904668804810).

51930286866432 is an abundant number, since it is smaller than the sum of its proper divisors (115879050743188).

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

51930286866432 is an frugal number, since it uses more digits than its factorization.

51930286866432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 51930286866432 in words is "fifty-one trillion, nine hundred thirty billion, two hundred eighty-six million, eight hundred sixty-six thousand, four hundred thirty-two".