25988256000 has 576 divisors, whose sum is σ = 109638197760. Its totient is φ = 5938790400.

The previous prime is 25988255983. The next prime is 25988256037. The reversal of 25988256000 is 65288952.

25988256000 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 82 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6045852 + ... + 6050148.

Almost surely, 2^25988256000 is an apocalyptic number.

25988256000 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 25988256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54819098880).

25988256000 is an abundant number, since it is smaller than the sum of its proper divisors (83649941760).

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

25988256000 is an equidigital number, since it uses as much as digits as its factorization.

25988256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 25988256000 in words is "twenty-five billion, nine hundred eighty-eight million, two hundred fifty-six thousand".