22520381065728 has 1280 divisors, whose sum is σ = 79911645327360. Its totient is φ = 5467668480000.

The previous prime is 22520381065673. The next prime is 22520381065739. The reversal of 22520381065728 is 82756018302522.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36381875403 + ... + 36381876021.

It is an arithmetic number, because the mean of its divisors is an integer number (62430972912).

Almost surely, 2^{22520381065728} is an apocalyptic number.

22520381065728 is a gapful number since it is divisible by the number (28) 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 22520381065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39955822663680).

22520381065728 is an abundant number, since it is smaller than the sum of its proper divisors (57391264261632).

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

22520381065728 is a wasteful number, since it uses less digits than its factorization.

22520381065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 22520381065728 in words is "twenty-two trillion, five hundred twenty billion, three hundred eighty-one million, sixty-five thousand, seven hundred twenty-eight".