25872409221120 has 5376 divisors, whose sum is σ = 128697801523200. Its totient is φ = 4824394629120.

The previous prime is 25872409221041. The next prime is 25872409221137. The reversal of 25872409221120 is 2112290427852.

25872409221120 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 2 + 409 + 2 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 251188438989 + ... + 251188439091.

It is an arithmetic number, because the mean of its divisors is an integer number (23939323200).

Almost surely, 2^{25872409221120} is an apocalyptic number.

25872409221120 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 25872409221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64348900761600).

25872409221120 is an abundant number, since it is smaller than the sum of its proper divisors (102825392302080).

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

25872409221120 is a wasteful number, since it uses less digits than its factorization.

25872409221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 25872409221120 its reverse (2112290427852), we get a palindrome (27984699648972).

The spelling of 25872409221120 in words is "twenty-five trillion, eight hundred seventy-two billion, four hundred nine million, two hundred twenty-one thousand, one hundred twenty".