22580493967040 has 224 divisors, whose sum is σ = 54694579968000. Its totient is φ = 8878168645632.

The previous prime is 22580493967033. The next prime is 22580493967061. The reversal of 22580493967040 is 4076939408522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455541291 + ... + 5455545429.

It is an arithmetic number, because the mean of its divisors is an integer number (244172232000).

Almost surely, 2^{22580493967040} is an apocalyptic number.

22580493967040 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 22580493967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27347289984000).

22580493967040 is an abundant number, since it is smaller than the sum of its proper divisors (32114086000960).

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

22580493967040 is a wasteful number, since it uses less digits than its factorization.

22580493967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 59.

The spelling of 22580493967040 in words is "twenty-two trillion, five hundred eighty billion, four hundred ninety-three million, nine hundred sixty-seven thousand, forty".