25989285264000 has 512 divisors, whose sum is σ = 86588330400000. Its totient is φ = 6895672934400.

The previous prime is 25989285263993. The next prime is 25989285264017. The reversal of 25989285264000 is 46258298952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8934094546 + ... + 8934097454.

Almost surely, 2^{25989285264000} is an apocalyptic number.

25989285264000 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 25989285264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43294165200000).

25989285264000 is an abundant number, since it is smaller than the sum of its proper divisors (60599045136000).

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

25989285264000 is a wasteful number, since it uses less digits than its factorization.

25989285264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 25989285264000 in words is "twenty-five trillion, nine hundred eighty-nine billion, two hundred eighty-five million, two hundred sixty-four thousand".