5111664800 has 72 divisors (see below), whose sum is σ = 13613316192. Its totient is φ = 1858784000.

The previous prime is 5111664781. The next prime is 5111664821. The reversal of 5111664800 is 84661115.

It is a super-2 number, since 2×5111664800² = 52258234055118080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 281636 + ... + 299235.

It is an arithmetic number, because the mean of its divisors is an integer number (189073836).

Almost surely, 2^5111664800 is an apocalyptic number.

5111664800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5111664800 is an abundant number, since it is smaller than the sum of its proper divisors (8501651392).

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

5111664800 is a wasteful number, since it uses less digits than its factorization.

5111664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580902 (or 580889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 5111664800 is about 71495.9075751892. The cubic root of 5111664800 is about 1722.6119500630.

The spelling of 5111664800 in words is "five billion, one hundred eleven million, six hundred sixty-four thousand, eight hundred".