25868808000 has 672 divisors, whose sum is σ = 109731218688. Its totient is φ = 5909760000.

The previous prime is 25868807981. The next prime is 25868808019. The reversal of 25868808000 is 80886852.

It is an interprime number because it is at equal distance from previous prime (25868807981) and next prime (25868808019).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607050 + ... + 13608950.

It is an arithmetic number, because the mean of its divisors is an integer number (163290504).

Almost surely, 2^25868808000 is an apocalyptic number.

25868808000 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 25868808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54865609344).

25868808000 is an abundant number, since it is smaller than the sum of its proper divisors (83862410688).

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

25868808000 is an equidigital number, since it uses as much as digits as its factorization.

25868808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 25868808000 in words is "twenty-five billion, eight hundred sixty-eight million, eight hundred eight thousand".