22520829485952 has 256 divisors, whose sum is σ = 76205834611200. Its totient is φ = 6413962973184.

The previous prime is 22520829485867. The next prime is 22520829485953. The reversal of 22520829485952 is 25958492802522.

22520829485952 is a `hidden beast` number, since 2 + 2 + 5 + 20 + 82 + 9 + 485 + 9 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22520829485952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22520829485953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085003 + ... + 9059189.

It is an arithmetic number, because the mean of its divisors is an integer number (297679041450).

Almost surely, 2^{22520829485952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22520829485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102917305600).

22520829485952 is an abundant number, since it is smaller than the sum of its proper divisors (53685005125248).

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

22520829485952 is a wasteful number, since it uses less digits than its factorization.

22520829485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974530 (or 2974512 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 22520829485952 in words is "twenty-two trillion, five hundred twenty billion, eight hundred twenty-nine million, four hundred eighty-five thousand, nine hundred fifty-two".