22505909578152 has 768 divisors, whose sum is σ = 76865648025600. Its totient is φ = 5343179212800.

The previous prime is 22505909578147. The next prime is 22505909578189. The reversal of 22505909578152 is 25187590950522.

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, 14894711077 + ... + 14894712587.

It is an arithmetic number, because the mean of its divisors is an integer number (100085479200).

Almost surely, 2^{22505909578152} is an apocalyptic number.

22505909578152 is a gapful number since it is divisible by the number (22) 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 22505909578152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432824012800).

22505909578152 is an abundant number, since it is smaller than the sum of its proper divisors (54359738447448).

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

22505909578152 is a wasteful number, since it uses less digits than its factorization.

22505909578152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 60.

The spelling of 22505909578152 in words is "twenty-two trillion, five hundred five billion, nine hundred nine million, five hundred seventy-eight thousand, one hundred fifty-two".