51008952960 has 960 divisors, whose sum is σ = 217295226720. Its totient is φ = 11363659776.

The previous prime is 51008952901. The next prime is 51008952989. The reversal of 51008952960 is 6925980015.

51008952960 is a `hidden beast` number, since 510 + 0 + 89 + 52 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 109226647 + ... + 109227113.

Almost surely, 2^51008952960 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 51008952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108647613360).

51008952960 is an abundant number, since it is smaller than the sum of its proper divisors (166286273760).

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

51008952960 is a wasteful number, since it uses less digits than its factorization.

51008952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51008952960 in words is "fifty-one billion, eight million, nine hundred fifty-two thousand, nine hundred sixty".