51416429904 has 360 divisors, whose sum is σ = 172105502400. Its totient is φ = 14323284864.

The previous prime is 51416429887. The next prime is 51416429959. The reversal of 51416429904 is 40992461415.

51416429904 is a `hidden beast` number, since 514 + 1 + 6 + 42 + 9 + 90 + 4 = 666.

51416429904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51416429904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91325527 + ... + 91326089.

It is an arithmetic number, because the mean of its divisors is an integer number (478070840).

Almost surely, 2^51416429904 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 51416429904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86052751200).

51416429904 is an abundant number, since it is smaller than the sum of its proper divisors (120689072496).

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

51416429904 is a wasteful number, since it uses less digits than its factorization.

51416429904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 51416429904 in words is "fifty-one billion, four hundred sixteen million, four hundred twenty-nine thousand, nine hundred four".