22985136000 has 768 divisors, whose sum is σ = 90023731200. Its totient is φ = 5598720000.

The previous prime is 22985135909. The next prime is 22985136001. The reversal of 22985136000 is 63158922.

22985136000 is a `hidden beast` number, since 2 + 298 + 5 + 1 + 360 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22985136001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84815865 + ... + 84816135.

It is an arithmetic number, because the mean of its divisors is an integer number (117218400).

Almost surely, 2^22985136000 is an apocalyptic number.

22985136000 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 22985136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45011865600).

22985136000 is an abundant number, since it is smaller than the sum of its proper divisors (67038595200).

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

22985136000 is a wasteful number, since it uses less digits than its factorization.

22985136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22985136000 in words is "twenty-two billion, nine hundred eighty-five million, one hundred thirty-six thousand".