51684150816 has 480 divisors, whose sum is σ = 168959831040. Its totient is φ = 15425220096.

The previous prime is 51684150799. The next prime is 51684150823. The reversal of 51684150816 is 61805148615.

51684150816 is a `hidden beast` number, since 51 + 6 + 84 + 1 + 508 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116668291 + ... + 116668733.

It is an arithmetic number, because the mean of its divisors is an integer number (351999648).

Almost surely, 2^51684150816 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 51684150816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84479915520).

51684150816 is an abundant number, since it is smaller than the sum of its proper divisors (117275680224).

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

51684150816 is a wasteful number, since it uses less digits than its factorization.

51684150816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

It can be divided in two parts, 51684 and 150816, that added together give a square (202500 = 450²).

The spelling of 51684150816 in words is "fifty-one billion, six hundred eighty-four million, one hundred fifty thousand, eight hundred sixteen".