5100134524416 has 120 divisors (see below), whose sum is σ = 15494035591320. Its totient is φ = 1610568769536.

The previous prime is 5100134524367. The next prime is 5100134524453. The reversal of 5100134524416 is 6144254310015.

5100134524416 is a `hidden beast` number, since 5 + 100 + 13 + 4 + 524 + 4 + 16 = 666.

It is a super-2 number, since 2×5100134524416² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29038765 + ... + 29213868.

It is an arithmetic number, because the mean of its divisors is an integer number (129116963261).

Almost surely, 2^{5100134524416} is an apocalyptic number.

It is an amenable number.

5100134524416 is an abundant number, since it is smaller than the sum of its proper divisors (10393901066904).

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

5100134524416 is a wasteful number, since it uses less digits than its factorization.

5100134524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58252676 (or 58252657 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5100134524416 in words is "five trillion, one hundred billion, one hundred thirty-four million, five hundred twenty-four thousand, four hundred sixteen".