51159957264 has 640 divisors, whose sum is σ = 172762275840. Its totient is φ = 14370048000.

The previous prime is 51159957259. The next prime is 51159957271. The reversal of 51159957264 is 46275995115.

51159957264 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 9 + 9 + 572 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 51159957264.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 338807589 + ... + 338807739.

It is an arithmetic number, because the mean of its divisors is an integer number (269941056).

Almost surely, 2^51159957264 is an apocalyptic number.

51159957264 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 51159957264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86381137920).

51159957264 is an abundant number, since it is smaller than the sum of its proper divisors (121602318576).

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

51159957264 is a wasteful number, since it uses less digits than its factorization.

51159957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 51159957264 in words is "fifty-one billion, one hundred fifty-nine million, nine hundred fifty-seven thousand, two hundred sixty-four".