22788967449600 has 1584 divisors, whose sum is σ = 92270904760320. Its totient is φ = 5325801062400.

The previous prime is 22788967449553. The next prime is 22788967449637. The reversal of 22788967449600 is 694476988722.

22788967449600 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 8 + 9 + 6 + 7 + 4 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×22788967449600³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8609355477 + ... + 8609358123.

Almost surely, 2^{22788967449600} is an apocalyptic number.

22788967449600 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 22788967449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46135452380160).

22788967449600 is an abundant number, since it is smaller than the sum of its proper divisors (69481937310720).

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

22788967449600 is a wasteful number, since it uses less digits than its factorization.

22788967449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 22788967449600 in words is "twenty-two trillion, seven hundred eighty-eight billion, nine hundred sixty-seven million, four hundred forty-nine thousand, six hundred".