22958945760960 has 896 divisors, whose sum is σ = 90949869895680. Its totient is φ = 5404357324800.

The previous prime is 22958945760937. The next prime is 22958945760977. The reversal of 22958945760960 is 6906754985922.

22958945760960 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 8 + 9 + 4 + 5 + 7 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×22958945760960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567273525 + ... + 567313995.

Almost surely, 2^{22958945760960} is an apocalyptic number.

22958945760960 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 22958945760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45474934947840).

22958945760960 is an abundant number, since it is smaller than the sum of its proper divisors (67990924134720).

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

22958945760960 is a wasteful number, since it uses less digits than its factorization.

22958945760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40682 (or 40666 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 22958945760960 in words is "twenty-two trillion, nine hundred fifty-eight billion, nine hundred forty-five million, seven hundred sixty thousand, nine hundred sixty".