22788921600 has 729 divisors, whose sum is σ = 88952553417. Its totient is φ = 5564989440.

The previous prime is 22788921581. The next prime is 22788921641. The reversal of 22788921600 is 612988722.

The square root of 22788921600 is 150960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 704583936 + 22084337664 = 26544^2 + 148608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 615916782 + ... + 615916818.

Almost surely, 2^22788921600 is an apocalyptic number.

22788921600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22788921600 is the 150960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22788921600

22788921600 is an abundant number, since it is smaller than the sum of its proper divisors (66163631817).

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

22788921600 is a wasteful number, since it uses less digits than its factorization.

22788921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22788921600 in words is "twenty-two billion, seven hundred eighty-eight million, nine hundred twenty-one thousand, six hundred".