5115860064 has 288 divisors, whose sum is σ = 17343406080. Its totient is φ = 1399680000.

The previous prime is 5115860053. The next prime is 5115860069. The reversal of 5115860064 is 4600685115.

5115860064 is a `hidden beast` number, since 5 + 11 + 586 + 0 + 0 + 64 = 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 (5115860069) 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, 6811689 + ... + 6812439.

It is an arithmetic number, because the mean of its divisors is an integer number (60220160).

Almost surely, 2^5115860064 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 5115860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671703040).

5115860064 is an abundant number, since it is smaller than the sum of its proper divisors (12227546016).

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

5115860064 is a wasteful number, since it uses less digits than its factorization.

5115860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5115860064 is about 71525.2407475850. The cubic root of 5115860064 is about 1723.0830839638.

The spelling of 5115860064 in words is "five billion, one hundred fifteen million, eight hundred sixty thousand, sixty-four".