22428568509120 has 1344 divisors, whose sum is σ = 87204286181376. Its totient is φ = 5464642682880.

The previous prime is 22428568509119. The next prime is 22428568509131. The reversal of 22428568509120 is 2190586582422.

22428568509120 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 8 + 5 + 6 + 8 + 509 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12303108529 + ... + 12303110351.

It is an arithmetic number, because the mean of its divisors is an integer number (64884141504).

Almost surely, 2^{22428568509120} is an apocalyptic number.

22428568509120 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 22428568509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43602143090688).

22428568509120 is an abundant number, since it is smaller than the sum of its proper divisors (64775717672256).

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

22428568509120 is a wasteful number, since it uses less digits than its factorization.

22428568509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 22428568509120 in words is "twenty-two trillion, four hundred twenty-eight billion, five hundred sixty-eight million, five hundred nine thousand, one hundred twenty".