5116320735120 has 720 divisors, whose sum is σ = 20860500967488. Its totient is φ = 1161962081280.

The previous prime is 5116320735089. The next prime is 5116320735139. The reversal of 5116320735120 is 215370236115.

5116320735120 is a `hidden beast` number, since 5 + 1 + 1 + 632 + 0 + 7 + 3 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149534815 + ... + 149569025.

Almost surely, 2^{5116320735120} 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 5116320735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430250483744).

5116320735120 is an abundant number, since it is smaller than the sum of its proper divisors (15744180232368).

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

5116320735120 is a wasteful number, since it uses less digits than its factorization.

5116320735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34410 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 5116320735120 in words is "five trillion, one hundred sixteen billion, three hundred twenty million, seven hundred thirty-five thousand, one hundred twenty".