22825729248120 has 320 divisors, whose sum is σ = 77346055987200. Its totient is φ = 6037203352320.

The previous prime is 22825729248109. The next prime is 22825729248167. The reversal of 22825729248120 is 2184292752822.

22825729248120 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 5 + 72 + 92 + 481 + 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 79 ways as a sum of consecutive naturals, for example, 2131049565 + ... + 2131060275.

It is an arithmetic number, because the mean of its divisors is an integer number (241706424960).

Almost surely, 2^{22825729248120} is an apocalyptic number.

22825729248120 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 22825729248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673027993600).

22825729248120 is an abundant number, since it is smaller than the sum of its proper divisors (54520326739080).

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

22825729248120 is a wasteful number, since it uses less digits than its factorization.

22825729248120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16040 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 22825729248120 in words is "twenty-two trillion, eight hundred twenty-five billion, seven hundred twenty-nine million, two hundred forty-eight thousand, one hundred twenty".