25989120000 has 640 divisors, whose sum is σ = 98271043200. Its totient is φ = 6782976000.

The previous prime is 25989119969. The next prime is 25989120011. The reversal of 25989120000 is 2198952.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 552959977 + ... + 552960023.

It is an arithmetic number, because the mean of its divisors is an integer number (153548505).

Almost surely, 2^25989120000 is an apocalyptic number.

25989120000 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 25989120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49135521600).

25989120000 is an abundant number, since it is smaller than the sum of its proper divisors (72281923200).

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

25989120000 is an frugal number, since it uses more digits than its factorization.

25989120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 25989120000 in words is "twenty-five billion, nine hundred eighty-nine million, one hundred twenty thousand".