51627535231104 has 96 divisors (see below), whose sum is σ = 169786983450240. Its totient is φ = 14750724349440.

The previous prime is 51627535231093. The next prime is 51627535231213. The reversal of 51627535231104 is 40113253572615.

51627535231104 is a `hidden beast` number, since 5 + 1 + 6 + 2 + 7 + 5 + 3 + 523 + 110 + 4 = 666.

51627535231104 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 51627535231104.

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 11 ways as a sum of consecutive naturals, for example, 3201103992 + ... + 3201120119.

It is an arithmetic number, because the mean of its divisors is an integer number (1768614410940).

Almost surely, 2^{51627535231104} is an apocalyptic number.

It is an amenable number.

51627535231104 is an abundant number, since it is smaller than the sum of its proper divisors (118159448219136).

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

51627535231104 is a wasteful number, since it uses less digits than its factorization.

51627535231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402224138 (or 6402224123 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 51627535231104 in words is "fifty-one trillion, six hundred twenty-seven billion, five hundred thirty-five million, two hundred thirty-one thousand, one hundred four".