22552450440520 has 1024 divisors, whose sum is σ = 71762870108160. Its totient is φ = 6154057728000.

The previous prime is 22552450440473. The next prime is 22552450440551. The reversal of 22552450440520 is 2504405425522.

It is a super-2 number, since 2×22552450440520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 255 ways as a sum of consecutive naturals, for example, 9216365937 + ... + 9216368383.

It is an arithmetic number, because the mean of its divisors is an integer number (70080927840).

Almost surely, 2^{22552450440520} is an apocalyptic number.

22552450440520 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 22552450440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881435054080).

22552450440520 is an abundant number, since it is smaller than the sum of its proper divisors (49210419667640).

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

22552450440520 is a wasteful number, since it uses less digits than its factorization.

22552450440520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 22552450440520 in words is "twenty-two trillion, five hundred fifty-two billion, four hundred fifty million, four hundred forty thousand, five hundred twenty".