25820884172160 has 3456 divisors, whose sum is σ = 120899080673280. Its totient is φ = 5048889753600.

The previous prime is 25820884172131. The next prime is 25820884172173. The reversal of 25820884172160 is 6127148802852.

25820884172160 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 0 + 8 + 8 + 417 + 216 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25820884172097 and 25820884172106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 55768648089 + ... + 55768648551.

It is an arithmetic number, because the mean of its divisors is an integer number (34982372880).

Almost surely, 2^{25820884172160} is an apocalyptic number.

25820884172160 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 25820884172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60449540336640).

25820884172160 is an abundant number, since it is smaller than the sum of its proper divisors (95078196501120).

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

25820884172160 is a wasteful number, since it uses less digits than its factorization.

25820884172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 25820884172160 in words is "twenty-five trillion, eight hundred twenty billion, eight hundred eighty-four million, one hundred seventy-two thousand, one hundred sixty".