22725368709120 has 2688 divisors, whose sum is σ = 104064854140080. Its totient is φ = 4708777328640.

The previous prime is 22725368709103. The next prime is 22725368709151. The reversal of 22725368709120 is 2190786352722.

22725368709120 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 536 + 87 + 0 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 167 ways as a sum of consecutive naturals, for example, 64377814864 + ... + 64377815216.

Almost surely, 2^{22725368709120} is an apocalyptic number.

22725368709120 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 22725368709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52032427070040).

22725368709120 is an abundant number, since it is smaller than the sum of its proper divisors (81339485430960).

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

22725368709120 is an frugal number, since it uses more digits than its factorization.

22725368709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 22725368709120 in words is "twenty-two trillion, seven hundred twenty-five billion, three hundred sixty-eight million, seven hundred nine thousand, one hundred twenty".