5109885600 has 72 divisors (see below), whose sum is σ = 16632685440. Its totient is φ = 1362635520.

The previous prime is 5109885553. The next prime is 5109885617. The reversal of 5109885600 is 65889015.

It is a super-2 number, since 2×5109885600² = 52221861690174720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062160 + ... + 1066959.

It is an arithmetic number, because the mean of its divisors is an integer number (231009520).

Almost surely, 2^5109885600 is an apocalyptic number.

5109885600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5109885600 is an abundant number, since it is smaller than the sum of its proper divisors (11522799840).

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

5109885600 is a wasteful number, since it uses less digits than its factorization.

5109885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129142 (or 2129129 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 5109885600 is about 71483.4638220617. The cubic root of 5109885600 is about 1722.4120656181.

The spelling of 5109885600 in words is "five billion, one hundred nine million, eight hundred eighty-five thousand, six hundred".