22425124296960 has 2592 divisors, whose sum is σ = 104064684622080. Its totient is φ = 4351414763520.

The previous prime is 22425124296929. The next prime is 22425124296961. The reversal of 22425124296960 is 6969242152422.

22425124296960 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 512 + 4 + 2 + 9 + 69 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22425124296897 and 22425124296906.

It is not an unprimeable number, because it can be changed into a prime (22425124296961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13533568452 + ... + 13533570108.

Almost surely, 2^{22425124296960} is an apocalyptic number.

22425124296960 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 22425124296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52032342311040).

22425124296960 is an abundant number, since it is smaller than the sum of its proper divisors (81639560325120).

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

22425124296960 is a wasteful number, since it uses less digits than its factorization.

22425124296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 22425124296960 in words is "twenty-two trillion, four hundred twenty-five billion, one hundred twenty-four million, two hundred ninety-six thousand, nine hundred sixty".