5116756320 has 288 divisors, whose sum is σ = 18877072032. Its totient is φ = 1254629376.

The previous prime is 5116756301. The next prime is 5116756327. The reversal of 5116756320 is 236576115.

5116756320 is a `hidden beast` number, since 5 + 1 + 16 + 7 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116756327) 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, 8292652 + ... + 8293268.

It is an arithmetic number, because the mean of its divisors is an integer number (65545389).

Almost surely, 2^5116756320 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 5116756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438536016).

5116756320 is an abundant number, since it is smaller than the sum of its proper divisors (13760315712).

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

5116756320 is a wasteful number, since it uses less digits than its factorization.

5116756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1083 counting only the distinct ones).

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

The square root of 5116756320 is about 71531.5057859123. The cubic root of 5116756320 is about 1723.1837013483.

The spelling of 5116756320 in words is "five billion, one hundred sixteen million, seven hundred fifty-six thousand, three hundred twenty".