25188028220160 has 2304 divisors, whose sum is σ = 102180272947200. Its totient is φ = 5905798594560.

The previous prime is 25188028220119. The next prime is 25188028220171. The reversal of 25188028220160 is 6102282088152.

25188028220160 is a `hidden beast` number, since 2 + 518 + 80 + 28 + 2 + 20 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 93635792506 + ... + 93635792774.

It is an arithmetic number, because the mean of its divisors is an integer number (44349076800).

Almost surely, 2^{25188028220160} is an apocalyptic number.

25188028220160 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 25188028220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51090136473600).

25188028220160 is an abundant number, since it is smaller than the sum of its proper divisors (76992244727040).

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

25188028220160 is an equidigital number, since it uses as much as digits as its factorization.

25188028220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 25188028220160 in words is "twenty-five trillion, one hundred eighty-eight billion, twenty-eight million, two hundred twenty thousand, one hundred sixty".