25882217729280 has 1152 divisors, whose sum is σ = 106269200432640. Its totient is φ = 5895385251840.

The previous prime is 25882217729227. The next prime is 25882217729321. The reversal of 25882217729280 is 8292771228852.

25882217729280 is a `hidden beast` number, since 2 + 5 + 88 + 22 + 177 + 292 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4220153094 + ... + 4220159226.

It is an arithmetic number, because the mean of its divisors is an integer number (92247569820).

Almost surely, 2^{25882217729280} is an apocalyptic number.

25882217729280 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 25882217729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53134600216320).

25882217729280 is an abundant number, since it is smaller than the sum of its proper divisors (80386982703360).

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

25882217729280 is a wasteful number, since it uses less digits than its factorization.

25882217729280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 25882217729280 in words is "twenty-five trillion, eight hundred eighty-two billion, two hundred seventeen million, seven hundred twenty-nine thousand, two hundred eighty".