25887859200 has 1440 divisors, whose sum is σ = 116358802560. Its totient is φ = 5573836800.

The previous prime is 25887859177. The next prime is 25887859201. The reversal of 25887859200 is 295878852.

25887859200 is a `hidden beast` number, since 2 + 588 + 7 + 8 + 59 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25887859201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 631411180 + ... + 631411220.

It is an arithmetic number, because the mean of its divisors is an integer number (80804724).

Almost surely, 2^25887859200 is an apocalyptic number.

25887859200 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 25887859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58179401280).

25887859200 is an abundant number, since it is smaller than the sum of its proper divisors (90470943360).

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

25887859200 is an equidigital number, since it uses as much as digits as its factorization.

25887859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 25887859200 in words is "twenty-five billion, eight hundred eighty-seven million, eight hundred fifty-nine thousand, two hundred".