51564045312 has 880 divisors, whose sum is σ = 183506344560. Its totient is φ = 14269022208.

The previous prime is 51564045307. The next prime is 51564045347. The reversal of 51564045312 is 21354046515.

51564045312 is a `hidden beast` number, since 5 + 1 + 5 + 640 + 4 + 5 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191102976 + 51372942336 = 13824^2 + 226656^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 531588048 + ... + 531588144.

It is an arithmetic number, because the mean of its divisors is an integer number (208529937).

Almost surely, 2^51564045312 is an apocalyptic number.

51564045312 is a gapful number since it is divisible by the number (52) 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 51564045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91753172280).

51564045312 is an abundant number, since it is smaller than the sum of its proper divisors (131942299248).

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

51564045312 is a wasteful number, since it uses less digits than its factorization.

51564045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 51564045312 in words is "fifty-one billion, five hundred sixty-four million, forty-five thousand, three hundred twelve".