5095684800 has 126 divisors (see below), whose sum is σ = 18111318108. Its totient is φ = 1358845440.

The previous prime is 5095684777. The next prime is 5095684831. The reversal of 5095684800 is 84865905.

5095684800 is a `hidden beast` number, since 5 + 0 + 9 + 568 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 162534 + ... + 191333.

Almost surely, 2^5095684800 is an apocalyptic number.

5095684800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5095684800 is an abundant number, since it is smaller than the sum of its proper divisors (13015633308).

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

5095684800 is a wasteful number, since it uses less digits than its factorization.

5095684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353895 (or 353877 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5095684800 is about 71384.0654488101. The cubic root of 5095684800 is about 1720.8150094621.

The spelling of 5095684800 in words is "five billion, ninety-five million, six hundred eighty-four thousand, eight hundred".