22827859200 has 648 divisors, whose sum is σ = 85033854360. Its totient is φ = 5839257600.

The previous prime is 22827859193. The next prime is 22827859213. The reversal of 22827859200 is 295872822.

It can be written as a sum of positive squares in 12 ways, for example, as 15503238144 + 7324621056 = 124512^2 + 85584^2 .

It is a super-2 number, since 2×22827859200² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 256492756 + ... + 256492844.

Almost surely, 2^22827859200 is an apocalyptic number.

22827859200 is a gapful number since it is divisible by the number (20) 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 22827859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42516927180).

22827859200 is an abundant number, since it is smaller than the sum of its proper divisors (62205995160).

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

22827859200 is a wasteful number, since it uses less digits than its factorization.

22827859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 22827859200 in words is "twenty-two billion, eight hundred twenty-seven million, eight hundred fifty-nine thousand, two hundred".