5120516104704 has 960 divisors, whose sum is σ = 20886673167360. Its totient is φ = 1163060674560.

The previous prime is 5120516104703. The next prime is 5120516104763. The reversal of 5120516104704 is 4074016150215.

5120516104704 is a `hidden beast` number, since 5 + 1 + 20 + 5 + 161 + 0 + 470 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5120516104703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87610339 + ... + 87668765.

It is an arithmetic number, because the mean of its divisors is an integer number (21756951216).

Almost surely, 2^{5120516104704} 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 5120516104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10443336583680).

5120516104704 is an abundant number, since it is smaller than the sum of its proper divisors (15766157062656).

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

5120516104704 is a wasteful number, since it uses less digits than its factorization.

5120516104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58501 (or 58482 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 5120516104704 in words is "five trillion, one hundred twenty billion, five hundred sixteen million, one hundred four thousand, seven hundred four".