25804850400 has 1152 divisors, whose sum is σ = 112742784000. Its totient is φ = 5761082880.

The previous prime is 25804850389. The next prime is 25804850431. The reversal of 25804850400 is 405840852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600112779 + ... + 600112821.

It is an arithmetic number, because the mean of its divisors is an integer number (97867000).

Almost surely, 2^25804850400 is an apocalyptic number.

25804850400 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 25804850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56371392000).

25804850400 is an abundant number, since it is smaller than the sum of its proper divisors (86937933600).

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

25804850400 is an frugal number, since it uses more digits than its factorization.

25804850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 25804850400 in words is "twenty-five billion, eight hundred four million, eight hundred fifty thousand, four hundred".