22512297600 has 1152 divisors, whose sum is σ = 95714498880. Its totient is φ = 5175705600.

The previous prime is 22512297571. The next prime is 22512297623. The reversal of 22512297600 is 679221522.

It is a happy number.

22512297600 is a `hidden beast` number, since 2 + 25 + 1 + 2 + 29 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171849535 + ... + 171849665.

Almost surely, 2^22512297600 is an apocalyptic number.

22512297600 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 22512297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47857249440).

22512297600 is an abundant number, since it is smaller than the sum of its proper divisors (73202201280).

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

22512297600 is a wasteful number, since it uses less digits than its factorization.

22512297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 22512297600 in words is "twenty-two billion, five hundred twelve million, two hundred ninety-seven thousand, six hundred".