51630113664 has 256 divisors, whose sum is σ = 156012998400. Its totient is φ = 16803072000.

The previous prime is 51630113651. The next prime is 51630113669. The reversal of 51630113664 is 46631103615.

51630113664 is a `hidden beast` number, since 5 + 1 + 630 + 1 + 13 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51630113669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45974607 + ... + 45975729.

It is an arithmetic number, because the mean of its divisors is an integer number (609425775).

Almost surely, 2^51630113664 is an apocalyptic number.

51630113664 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 51630113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78006499200).

51630113664 is an abundant number, since it is smaller than the sum of its proper divisors (104382884736).

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

51630113664 is a wasteful number, since it uses less digits than its factorization.

51630113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51630113664 in words is "fifty-one billion, six hundred thirty million, one hundred thirteen thousand, six hundred sixty-four".