51756544512 has 640 divisors, whose sum is σ = 169703424000. Its totient is φ = 15522693120.

The previous prime is 51756544501. The next prime is 51756544517. The reversal of 51756544512 is 21544565715.

51756544512 is a `hidden beast` number, since 5 + 1 + 7 + 56 + 544 + 51 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51756544517) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 581534164 + ... + 581534252.

It is an arithmetic number, because the mean of its divisors is an integer number (265161600).

Almost surely, 2^51756544512 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 51756544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84851712000).

51756544512 is an abundant number, since it is smaller than the sum of its proper divisors (117946879488).

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

51756544512 is a wasteful number, since it uses less digits than its factorization.

51756544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The spelling of 51756544512 in words is "fifty-one billion, seven hundred fifty-six million, five hundred forty-four thousand, five hundred twelve".