25890816000 has 768 divisors, whose sum is σ = 102561750720. Its totient is φ = 5780275200.

The previous prime is 25890815999. The next prime is 25890816023. The reversal of 25890816000 is 61809852.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 25890816000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602111979 + ... + 602112021.

Almost surely, 2^25890816000 is an apocalyptic number.

25890816000 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 25890816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51280875360).

25890816000 is an abundant number, since it is smaller than the sum of its proper divisors (76670934720).

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

25890816000 is an frugal number, since it uses more digits than its factorization.

25890816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 25890816000 in words is "twenty-five billion, eight hundred ninety million, eight hundred sixteen thousand".