25704256400 has 120 divisors (see below), whose sum is σ = 65192702400. Its totient is φ = 9712396800.

The previous prime is 25704256387. The next prime is 25704256427. The reversal of 25704256400 is 465240752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2723690 + ... + 2733110.

It is an arithmetic number, because the mean of its divisors is an integer number (543272520).

Almost surely, 2^25704256400 is an apocalyptic number.

25704256400 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 25704256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32596351200).

25704256400 is an abundant number, since it is smaller than the sum of its proper divisors (39488446000).

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

25704256400 is a wasteful number, since it uses less digits than its factorization.

25704256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9806 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 25704256400 in words is "twenty-five billion, seven hundred four million, two hundred fifty-six thousand, four hundred".