25951672320 has 768 divisors, whose sum is σ = 104161075200. Its totient is φ = 5379194880.

The previous prime is 25951672301. The next prime is 25951672343. The reversal of 25951672320 is 2327615952.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 113325966 + ... + 113326194.

It is an arithmetic number, because the mean of its divisors is an integer number (135626400).

Almost surely, 2^25951672320 is an apocalyptic number.

25951672320 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 25951672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080537600).

25951672320 is an abundant number, since it is smaller than the sum of its proper divisors (78209402880).

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

25951672320 is a wasteful number, since it uses less digits than its factorization.

25951672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 25951672320 in words is "twenty-five billion, nine hundred fifty-one million, six hundred seventy-two thousand, three hundred twenty".