25896675168000 has 1728 divisors, whose sum is σ = 114921151817472. Its totient is φ = 5452804915200.

The previous prime is 25896675167999. The next prime is 25896675168037. The reversal of 25896675168000 is 86157669852.

25896675168000 is a `hidden beast` number, since 2 + 58 + 9 + 6 + 67 + 516 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22460255424 + ... + 22460256576.

Almost surely, 2^{25896675168000} is an apocalyptic number.

25896675168000 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 25896675168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57460575908736).

25896675168000 is an abundant number, since it is smaller than the sum of its proper divisors (89024476649472).

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

25896675168000 is a wasteful number, since it uses less digits than its factorization.

25896675168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 25896675168000 in words is "twenty-five trillion, eight hundred ninety-six billion, six hundred seventy-five million, one hundred sixty-eight thousand".