51469634304 has 720 divisors, whose sum is σ = 179497866240. Its totient is φ = 14515200000.

The previous prime is 51469634303. The next prime is 51469634311. The reversal of 51469634304 is 40343696415.

51469634304 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 9 + 634 + 3 + 0 + 4 = 666.

51469634304 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 51469634304.

It is not an unprimeable number, because it can be changed into a prime (51469634303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 205058179 + ... + 205058429.

It is an arithmetic number, because the mean of its divisors is an integer number (249302592).

Almost surely, 2^51469634304 is an apocalyptic number.

51469634304 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 51469634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89748933120).

51469634304 is an abundant number, since it is smaller than the sum of its proper divisors (128028231936).

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

51469634304 is a wasteful number, since it uses less digits than its factorization.

51469634304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 51469634304 in words is "fifty-one billion, four hundred sixty-nine million, six hundred thirty-four thousand, three hundred four".