5264582400 has 648 divisors, whose sum is σ = 23486246784. Its totient is φ = 1093017600.

The previous prime is 5264582383. The next prime is 5264582429. The reversal of 5264582400 is 42854625.

It is a happy number.

5264582400 is a `hidden beast` number, since 5 + 2 + 645 + 8 + 2 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434607 + ... + 4435793.

It is an arithmetic number, because the mean of its divisors is an integer number (36244208).

Almost surely, 2^5264582400 is an apocalyptic number.

5264582400 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 5264582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743123392).

5264582400 is an abundant number, since it is smaller than the sum of its proper divisors (18221664384).

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

5264582400 is a wasteful number, since it uses less digits than its factorization.

5264582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5264582400 is about 72557.4420717820. The cubic root of 5264582400 is about 1739.6210034639.

The spelling of 5264582400 in words is "five billion, two hundred sixty-four million, five hundred eighty-two thousand, four hundred".