51000058199232 has 336 divisors, whose sum is σ = 152839043612640. Its totient is φ = 16676189798400.

The previous prime is 51000058199231. The next prime is 51000058199317. The reversal of 51000058199232 is 23299185000015.

51000058199232 is a `hidden beast` number, since 510 + 0 + 0 + 0 + 5 + 8 + 19 + 92 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51000058199231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869421432 + ... + 1869448712.

It is an arithmetic number, because the mean of its divisors is an integer number (454878105990).

Almost surely, 2^{51000058199232} 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 51000058199232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76419521806320).

51000058199232 is an abundant number, since it is smaller than the sum of its proper divisors (101838985413408).

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

51000058199232 is a wasteful number, since it uses less digits than its factorization.

51000058199232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27677 (or 27594 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51000058199232 in words is "fifty-one trillion, fifty-eight million, one hundred ninety-nine thousand, two hundred thirty-two".