22745562285600 has 1152 divisors, whose sum is σ = 103410341314560. Its totient is φ = 4726308787200.

The previous prime is 22745562285587. The next prime is 22745562285629. The reversal of 22745562285600 is 658226554722.

22745562285600 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 5 + 5 + 6 + 2 + 28 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201190689 + ... + 201303711.

It is an arithmetic number, because the mean of its divisors is an integer number (89765921280).

Almost surely, 2^{22745562285600} is an apocalyptic number.

22745562285600 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 22745562285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51705170657280).

22745562285600 is an abundant number, since it is smaller than the sum of its proper divisors (80664779028960).

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

22745562285600 is a wasteful number, since it uses less digits than its factorization.

22745562285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113092 (or 113051 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 22745562285600 in words is "twenty-two trillion, seven hundred forty-five billion, five hundred sixty-two million, two hundred eighty-five thousand, six hundred".