51904415808 has 252 divisors, whose sum is σ = 173452375980. Its totient is φ = 14796601344.

The previous prime is 51904415779. The next prime is 51904415819. The reversal of 51904415808 is 80851440915.

It is a happy number.

51904415808 is a `hidden beast` number, since 519 + 0 + 44 + 15 + 80 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15288827904 + 36615587904 = 123648^2 + 191352^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14364210 + ... + 14367822.

Almost surely, 2^51904415808 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 51904415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86726187990).

51904415808 is an abundant number, since it is smaller than the sum of its proper divisors (121547960172).

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

51904415808 is a wasteful number, since it uses less digits than its factorization.

51904415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51904415808 in words is "fifty-one billion, nine hundred four million, four hundred fifteen thousand, eight hundred eight".