5187856800 has 144 divisors (see below), whose sum is σ = 19298889792. Its totient is φ = 1185792000.

The previous prime is 5187856787. The next prime is 5187856811. The reversal of 5187856800 is 86587815.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5187856800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137601 + ... + 171200.

It is an arithmetic number, because the mean of its divisors is an integer number (134020068).

Almost surely, 2^5187856800 is an apocalyptic number.

5187856800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5187856800 is an abundant number, since it is smaller than the sum of its proper divisors (14111032992).

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

5187856800 is a wasteful number, since it uses less digits than its factorization.

5187856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308831 (or 308818 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The square root of 5187856800 is about 72026.7783536096. The cubic root of 5187856800 is about 1731.1285807620.

The spelling of 5187856800 in words is "five billion, one hundred eighty-seven million, eight hundred fifty-six thousand, eight hundred".