22957125649920 has 1600 divisors, whose sum is σ = 105823698849792. Its totient is φ = 4616331264000.

The previous prime is 22957125649867. The next prime is 22957125649933. The reversal of 22957125649920 is 2994652175922.

22957125649920 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 71 + 2 + 56 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494945130 + ... + 494991510.

Almost surely, 2^{22957125649920} is an apocalyptic number.

22957125649920 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 22957125649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52911849424896).

22957125649920 is an abundant number, since it is smaller than the sum of its proper divisors (82866573199872).

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

22957125649920 is a wasteful number, since it uses less digits than its factorization.

22957125649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46465 (or 46440 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 22957125649920 in words is "twenty-two trillion, nine hundred fifty-seven billion, one hundred twenty-five million, six hundred forty-nine thousand, nine hundred twenty".