5266684800 has 576 divisors, whose sum is σ = 21028185360. Its totient is φ = 1293926400.

The previous prime is 5266684799. The next prime is 5266684817. The reversal of 5266684800 is 84866625.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10108540 + ... + 10109060.

Almost surely, 2^5266684800 is an apocalyptic number.

5266684800 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 5266684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514092680).

5266684800 is an abundant number, since it is smaller than the sum of its proper divisors (15761500560).

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

5266684800 is a wasteful number, since it uses less digits than its factorization.

5266684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5266684800 is about 72571.9284572210. The cubic root of 5266684800 is about 1739.8525439846.

The spelling of 5266684800 in words is "five billion, two hundred sixty-six million, six hundred eighty-four thousand, eight hundred".