25953607680 has 896 divisors, whose sum is σ = 112031410176. Its totient is φ = 4954521600.

The previous prime is 25953607657. The next prime is 25953607699. The reversal of 25953607680 is 8670635952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123002775 + ... + 123002985.

It is an arithmetic number, because the mean of its divisors is an integer number (125035056).

Almost surely, 2^25953607680 is an apocalyptic number.

25953607680 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 25953607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015705088).

25953607680 is an abundant number, since it is smaller than the sum of its proper divisors (86077802496).

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

25953607680 is a wasteful number, since it uses less digits than its factorization.

25953607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 25953607680 in words is "twenty-five billion, nine hundred fifty-three million, six hundred seven thousand, six hundred eighty".