5109815760 has 80 divisors (see below), whose sum is σ = 18103353216. Its totient is φ = 1167957504.

The previous prime is 5109815759. The next prime is 5109815771. The reversal of 5109815760 is 675189015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5109815760² = 52220434202288755200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519099 + ... + 1522458.

Almost surely, 2^5109815760 is an apocalyptic number.

It is an amenable number.

5109815760 is an abundant number, since it is smaller than the sum of its proper divisors (12993537456).

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

5109815760 is a wasteful number, since it uses less digits than its factorization.

5109815760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041580 (or 3041574 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 5109815760 is about 71482.9753158051. The cubic root of 5109815760 is about 1722.4042184883.

The spelling of 5109815760 in words is "five billion, one hundred nine million, eight hundred fifteen thousand, seven hundred sixty".