51086518480116 has 144 divisors (see below), whose sum is σ = 154179498590208. Its totient is φ = 13955120078400.

The previous prime is 51086518480099. The next prime is 51086518480117. The reversal of 51086518480116 is 61108481568015.

51086518480116 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 6 + 518 + 4 + 8 + 0 + 116 = 666.

51086518480116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086518480117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38746140 + ... + 40042931.

It is an arithmetic number, because the mean of its divisors is an integer number (1070690962432).

Almost surely, 2^{51086518480116} is an apocalyptic number.

It is an amenable number.

51086518480116 is an abundant number, since it is smaller than the sum of its proper divisors (103092980110092).

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

51086518480116 is a wasteful number, since it uses less digits than its factorization.

51086518480116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78789202 (or 78789197 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 51086518480116 in words is "fifty-one trillion, eighty-six billion, five hundred eighteen million, four hundred eighty thousand, one hundred sixteen".