22723545600 has 1200 divisors, whose sum is σ = 100198872576. Its totient is φ = 4976640000.

The previous prime is 22723545557. The next prime is 22723545623. The reversal of 22723545600 is 654532722.

22723545600 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 3 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224985550 + ... + 224985650.

Almost surely, 2^22723545600 is an apocalyptic number.

22723545600 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 22723545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50099436288).

22723545600 is an abundant number, since it is smaller than the sum of its proper divisors (77475326976).

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

22723545600 is a wasteful number, since it uses less digits than its factorization.

22723545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 22723545600 in words is "twenty-two billion, seven hundred twenty-three million, five hundred forty-five thousand, six hundred".