5221972800 has 882 divisors, whose sum is σ = 21748074614. Its totient is φ = 1231718400.

The previous prime is 5221972799. The next prime is 5221972813. The reversal of 5221972800 is 82791225.

It can be written as a sum of positive squares in 3 ways, for example, as 1106493696 + 4115479104 = 33264^2 + 64152^2 .

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 125 ways as a sum of consecutive naturals, for example, 141134382 + ... + 141134418.

Almost surely, 2^5221972800 is an apocalyptic number.

5221972800 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 5221972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10874037307).

5221972800 is an abundant number, since it is smaller than the sum of its proper divisors (16526101814).

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

5221972800 is a wasteful number, since it uses less digits than its factorization.

5221972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5221972800 is about 72263.2188599428. The cubic root of 5221972800 is about 1734.9149994207.

The spelling of 5221972800 in words is "five billion, two hundred twenty-one million, nine hundred seventy-two thousand, eight hundred".