5181188800 has 42 divisors (see below), whose sum is σ = 12748966628. Its totient is φ = 2072474880.

The previous prime is 5181188759. The next prime is 5181188833. The reversal of 5181188800 is 88811815.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1617522 + ... + 1620721.

Almost surely, 2^5181188800 is an apocalyptic number.

5181188800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5181188800 is an abundant number, since it is smaller than the sum of its proper divisors (7567777828).

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

5181188800 is a wasteful number, since it uses less digits than its factorization.

5181188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238265 (or 3238250 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 40.

The square root of 5181188800 is about 71980.4751304130. The cubic root of 5181188800 is about 1730.3865842839.

The spelling of 5181188800 in words is "five billion, one hundred eighty-one million, one hundred eighty-eight thousand, eight hundred".