5268859200 has 1008 divisors, whose sum is σ = 22404994560. Its totient is φ = 1161216000.

The previous prime is 5268859199. The next prime is 5268859213. The reversal of 5268859200 is 29588625.

5268859200 is a `hidden beast` number, since 52 + 6 + 8 + 8 + 592 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142401582 + ... + 142401618.

Almost surely, 2^5268859200 is an apocalyptic number.

5268859200 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 5268859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202497280).

5268859200 is an abundant number, since it is smaller than the sum of its proper divisors (17136135360).

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

5268859200 is a wasteful number, since it uses less digits than its factorization.

5268859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

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

The square root of 5268859200 is about 72586.9079104490. The cubic root of 5268859200 is about 1740.0919491639.

It can be divided in two parts, 5268 and 859200, that added together give a palindrome (864468).

The spelling of 5268859200 in words is "five billion, two hundred sixty-eight million, eight hundred fifty-nine thousand, two hundred".