25960144896000 has 2720 divisors, whose sum is σ = 115906458590208. Its totient is φ = 5675758387200.

The previous prime is 25960144895999. The next prime is 25960144896017. The reversal of 25960144896000 is 69844106952.

25960144896000 is a `hidden beast` number, since 2 + 5 + 96 + 0 + 14 + 489 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1128701951989 + ... + 1128701952011.

Almost surely, 2^{25960144896000} is an apocalyptic number.

25960144896000 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 25960144896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953229295104).

25960144896000 is an abundant number, since it is smaller than the sum of its proper divisors (89946313694208).

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

25960144896000 is an frugal number, since it uses more digits than its factorization.

25960144896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25960144896000 in words is "twenty-five trillion, nine hundred sixty billion, one hundred forty-four million, eight hundred ninety-six thousand".