25996889088000 has 2240 divisors, whose sum is σ = 102377580896448. Its totient is φ = 6554832076800.

The previous prime is 25996889087899. The next prime is 25996889088029. The reversal of 25996889088000 is 88098869952.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 25996889088000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131963903902 + ... + 131963904098.

Almost surely, 2^{25996889088000} is an apocalyptic number.

25996889088000 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 25996889088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51188790448224).

25996889088000 is an abundant number, since it is smaller than the sum of its proper divisors (76380691808448).

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

25996889088000 is an equidigital number, since it uses as much as digits as its factorization.

25996889088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 25996889088000 in words is "twenty-five trillion, nine hundred ninety-six billion, eight hundred eighty-nine million, eighty-eight thousand".