22522753034880 has 1536 divisors, whose sum is σ = 87632001515520. Its totient is φ = 4900434739200.

The previous prime is 22522753034851. The next prime is 22522753034897. The reversal of 22522753034880 is 8843035722522.

It is a super-2 number, since 2×22522753034880² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63803832784 + ... + 63803833136.

It is an arithmetic number, because the mean of its divisors is an integer number (57052084320).

Almost surely, 2^{22522753034880} is an apocalyptic number.

22522753034880 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 22522753034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43816000757760).

22522753034880 is an abundant number, since it is smaller than the sum of its proper divisors (65109248480640).

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

22522753034880 is a wasteful number, since it uses less digits than its factorization.

22522753034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 22522753034880 in words is "twenty-two trillion, five hundred twenty-two billion, seven hundred fifty-three million, thirty-four thousand, eight hundred eighty".