51104996563104 has 288 divisors, whose sum is σ = 166991935219200. Its totient is φ = 14661972103680.

The previous prime is 51104996563091. The next prime is 51104996563279. The reversal of 51104996563104 is 40136569940115.

51104996563104 is a `hidden beast` number, since 5 + 110 + 499 + 6 + 5 + 6 + 31 + 0 + 4 = 666.

51104996563104 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 (288).

It is a super-2 number, since 2×51104996563104² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 94774317 + ... + 95312019.

It is an arithmetic number, because the mean of its divisors is an integer number (579833108400).

Almost surely, 2^{51104996563104} 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 51104996563104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83495967609600).

51104996563104 is an abundant number, since it is smaller than the sum of its proper divisors (115886938656096).

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

51104996563104 is a wasteful number, since it uses less digits than its factorization.

51104996563104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539328 (or 539317 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 51104996563104 in words is "fifty-one trillion, one hundred four billion, nine hundred ninety-six million, five hundred sixty-three thousand, one hundred four".