51173627904 has 480 divisors, whose sum is σ = 176570634240. Its totient is φ = 14464106496.

The previous prime is 51173627863. The next prime is 51173627927. The reversal of 51173627904 is 40972637115.

51173627904 is a `hidden beast` number, since 5 + 1 + 17 + 3 + 627 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 51173627904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147474259 + ... + 147474605.

It is an arithmetic number, because the mean of its divisors is an integer number (367855488).

Almost surely, 2^51173627904 is an apocalyptic number.

51173627904 is a gapful number since it is divisible by the number (54) 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 51173627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88285317120).

51173627904 is an abundant number, since it is smaller than the sum of its proper divisors (125397006336).

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

51173627904 is a wasteful number, since it uses less digits than its factorization.

51173627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 51173627904 in words is "fifty-one billion, one hundred seventy-three million, six hundred twenty-seven thousand, nine hundred four".