22575907141920 has 768 divisors, whose sum is σ = 92425013452800. Its totient is φ = 5085792092160.

The previous prime is 22575907141919. The next prime is 22575907141927. The reversal of 22575907141920 is 2914170957522.

22575907141920 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 590 + 7 + 1 + 41 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22575907141927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63642487 + ... + 63996233.

It is an arithmetic number, because the mean of its divisors is an integer number (120345069600).

Almost surely, 2^{22575907141920} is an apocalyptic number.

22575907141920 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 22575907141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212506726400).

22575907141920 is an abundant number, since it is smaller than the sum of its proper divisors (69849106310880).

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

22575907141920 is a wasteful number, since it uses less digits than its factorization.

22575907141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353878 (or 353864 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 22575907141920 in words is "twenty-two trillion, five hundred seventy-five billion, nine hundred seven million, one hundred forty-one thousand, nine hundred twenty".