5268564000 has 960 divisors, whose sum is σ = 23289057792. Its totient is φ = 1140480000.

The previous prime is 5268563999. The next prime is 5268564019. The reversal of 5268564000 is 4658625.

5268564000 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 5 + 640 + 0 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 52163950 + ... + 52164050.

Almost surely, 2^5268564000 is an apocalyptic number.

5268564000 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 5268564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644528896).

5268564000 is an abundant number, since it is smaller than the sum of its proper divisors (18020493792).

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

5268564000 is a wasteful number, since it uses less digits than its factorization.

5268564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5268564000 is about 72584.8744574240. The cubic root of 5268564000 is about 1740.0594510008.

The spelling of 5268564000 in words is "five billion, two hundred sixty-eight million, five hundred sixty-four thousand".