51756490729728 has 576 divisors, whose sum is σ = 163098374799360. Its totient is φ = 16162733260800.

The previous prime is 51756490729709. The next prime is 51756490729799. The reversal of 51756490729728 is 82792709465715.

51756490729728 is a `hidden beast` number, since 5 + 17 + 56 + 490 + 7 + 2 + 9 + 72 + 8 = 666.

51756490729728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041122793 + ... + 1041172503.

Almost surely, 2^{51756490729728} 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 51756490729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81549187399680).

51756490729728 is an abundant number, since it is smaller than the sum of its proper divisors (111341884069632).

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

51756490729728 is a wasteful number, since it uses less digits than its factorization.

51756490729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49923 (or 49903 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 51756490729728 in words is "fifty-one trillion, seven hundred fifty-six billion, four hundred ninety million, seven hundred twenty-nine thousand, seven hundred twenty-eight".