22786790400 has 1056 divisors, whose sum is σ = 94911365760. Its totient is φ = 5374771200.

The previous prime is 22786790399. The next prime is 22786790423. The reversal of 22786790400 is 409768722.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615859182 + ... + 615859218.

Almost surely, 2^22786790400 is an apocalyptic number.

22786790400 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 22786790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47455682880).

22786790400 is an abundant number, since it is smaller than the sum of its proper divisors (72124575360).

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

22786790400 is an equidigital number, since it uses as much as digits as its factorization.

22786790400 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 338688, while the sum is 45.

The spelling of 22786790400 in words is "twenty-two billion, seven hundred eighty-six million, seven hundred ninety thousand, four hundred".