25882001600 has 168 divisors, whose sum is σ = 78383087328. Its totient is φ = 8191180800.

The previous prime is 25882001581. The next prime is 25882001617. The reversal of 25882001600 is 610028852.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56720 + ... + 234480.

It is an arithmetic number, because the mean of its divisors is an integer number (466565996).

Almost surely, 2^25882001600 is an apocalyptic number.

25882001600 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 25882001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191543664).

25882001600 is an abundant number, since it is smaller than the sum of its proper divisors (52501085728).

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

25882001600 is a wasteful number, since it uses less digits than its factorization.

25882001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177803 (or 177788 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 25882001600 in words is "twenty-five billion, eight hundred eighty-two million, one thousand, six hundred".