51519942464832 has 224 divisors, whose sum is σ = 152542001687040. Its totient is φ = 17050697164800.

The previous prime is 51519942464813. The next prime is 51519942464941. The reversal of 51519942464832 is 23846424991515.

It is a happy number.

51519942464832 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 9 + 94 + 2 + 464 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51519942464832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352883113 + ... + 353029079.

It is an arithmetic number, because the mean of its divisors is an integer number (680991078960).

Almost surely, 2^{51519942464832} 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 51519942464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76271000843520).

51519942464832 is an abundant number, since it is smaller than the sum of its proper divisors (101022059222208).

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

51519942464832 is a wasteful number, since it uses less digits than its factorization.

51519942464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147446 (or 147430 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 51519942464832 in words is "fifty-one trillion, five hundred nineteen billion, nine hundred forty-two million, four hundred sixty-four thousand, eight hundred thirty-two".