22554504033120 has 864 divisors, whose sum is σ = 82930206996000. Its totient is φ = 5562556416000.

The previous prime is 22554504033097. The next prime is 22554504033169. The reversal of 22554504033120 is 2133040545522.

22554504033120 is a `hidden beast` number, since 2 + 2 + 55 + 450 + 4 + 0 + 33 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 45199406631 + ... + 45199407129.

It is an arithmetic number, because the mean of its divisors is an integer number (95984035875).

Almost surely, 2^{22554504033120} is an apocalyptic number.

22554504033120 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 22554504033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41465103498000).

22554504033120 is an abundant number, since it is smaller than the sum of its proper divisors (60375702962880).

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

22554504033120 is a wasteful number, since it uses less digits than its factorization.

22554504033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 22554504033120 its reverse (2133040545522), we get a palindrome (24687544578642).

The spelling of 22554504033120 in words is "twenty-two trillion, five hundred fifty-four billion, five hundred four million, thirty-three thousand, one hundred twenty".