25855948800 has 432 divisors, whose sum is σ = 101037048840. Its totient is φ = 6266880000.

The previous prime is 25855948759. The next prime is 25855948841. The reversal of 25855948800 is 884955852.

It is a happy number.

25855948800 is a `hidden beast` number, since 2 + 5 + 8 + 559 + 4 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25855948759) and next prime (25855948841).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5066250 + ... + 5071350.

Almost surely, 2^25855948800 is an apocalyptic number.

25855948800 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 25855948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50518524420).

25855948800 is an abundant number, since it is smaller than the sum of its proper divisors (75181100040).

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

25855948800 is a wasteful number, since it uses less digits than its factorization.

25855948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 25855948800 in words is "twenty-five billion, eight hundred fifty-five million, nine hundred forty-eight thousand, eight hundred".