5267916800 has 144 divisors (see below), whose sum is σ = 13486636800. Its totient is φ = 2038579200.

The previous prime is 5267916793. The next prime is 5267916811. The reversal of 5267916800 is 86197625.

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, 1585541 + ... + 1588859.

It is an arithmetic number, because the mean of its divisors is an integer number (93657200).

Almost surely, 2^5267916800 is an apocalyptic number.

5267916800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743318400).

5267916800 is an abundant number, since it is smaller than the sum of its proper divisors (8218720000).

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

5267916800 is a wasteful number, since it uses less digits than its factorization.

5267916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 5267916800 is about 72580.4160913948. The cubic root of 5267916800 is about 1739.9881973921.

The spelling of 5267916800 in words is "five billion, two hundred sixty-seven million, nine hundred sixteen thousand, eight hundred".