5268715200 has 1008 divisors, whose sum is σ = 23697590400. Its totient is φ = 1132185600.

The previous prime is 5268715187. The next prime is 5268715211. The reversal of 5268715200 is 25178625.

It is a happy number.

5268715200 is a `hidden beast` number, since 5 + 2 + 68 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×5268715200² = 55518719717422080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 40219135 + ... + 40219265.

Almost surely, 2^5268715200 is an apocalyptic number.

5268715200 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 5268715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848795200).

5268715200 is an abundant number, since it is smaller than the sum of its proper divisors (18428875200).

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

5268715200 is a wasteful number, since it uses less digits than its factorization.

5268715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5268715200 is about 72585.9159892606. The cubic root of 5268715200 is about 1740.0760965531.

The spelling of 5268715200 in words is "five billion, two hundred sixty-eight million, seven hundred fifteen thousand, two hundred".