25864058880 has 576 divisors, whose sum is σ = 101066434560. Its totient is φ = 6060441600.

The previous prime is 25864058873. The next prime is 25864058897. The reversal of 25864058880 is 8885046852.

It is a happy number.

25864058880 is a `hidden beast` number, since 2 + 5 + 86 + 405 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31426149 + ... + 31426971.

It is an arithmetic number, because the mean of its divisors is an integer number (175462560).

Almost surely, 2^25864058880 is an apocalyptic number.

25864058880 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 25864058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533217280).

25864058880 is an abundant number, since it is smaller than the sum of its proper divisors (75202375680).

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

25864058880 is a wasteful number, since it uses less digits than its factorization.

25864058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 25864058880 in words is "twenty-five billion, eight hundred sixty-four million, fifty-eight thousand, eight hundred eighty".