22545545496120 has 256 divisors, whose sum is σ = 75669552000000. Its totient is φ = 5970741106176.

The previous prime is 22545545496107. The next prime is 22545545496137. The reversal of 22545545496120 is 2169454554522.

22545545496120 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 5 + 545 + 4 + 96 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1412708701 + ... + 1412724659.

It is an arithmetic number, because the mean of its divisors is an integer number (295584187500).

Almost surely, 2^{22545545496120} is an apocalyptic number.

22545545496120 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 22545545496120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37834776000000).

22545545496120 is an abundant number, since it is smaller than the sum of its proper divisors (53124006503880).

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

22545545496120 is a wasteful number, since it uses less digits than its factorization.

22545545496120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24907 (or 24897 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 22545545496120 in words is "twenty-two trillion, five hundred forty-five billion, five hundred forty-five million, four hundred ninety-six thousand, one hundred twenty".