22972055184000 has 1536 divisors, whose sum is σ = 97590027225600. Its totient is φ = 5123948544000.

The previous prime is 22972055183989. The next prime is 22972055184007. The reversal of 22972055184000 is 48155027922.

22972055184000 is a `hidden beast` number, since 2 + 2 + 97 + 2 + 0 + 5 + 518 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22972055184007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 818049960 + ... + 818078040.

It is an arithmetic number, because the mean of its divisors is an integer number (63535173975).

Almost surely, 2^{22972055184000} is an apocalyptic number.

22972055184000 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 22972055184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48795013612800).

22972055184000 is an abundant number, since it is smaller than the sum of its proper divisors (74617972041600).

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

22972055184000 is a wasteful number, since it uses less digits than its factorization.

22972055184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28171 (or 28146 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 22972055184000 in words is "twenty-two trillion, nine hundred seventy-two billion, fifty-five million, one hundred eighty-four thousand".