25961886720 has 1056 divisors, whose sum is σ = 116737560576. Its totient is φ = 5374771200.

The previous prime is 25961886697. The next prime is 25961886739. The reversal of 25961886720 is 2768816952.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×25961886720² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 95800185 + ... + 95800455.

Almost surely, 2^25961886720 is an apocalyptic number.

25961886720 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 25961886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58368780288).

25961886720 is an abundant number, since it is smaller than the sum of its proper divisors (90775673856).

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

25961886720 is a wasteful number, since it uses less digits than its factorization.

25961886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25961886720 in words is "twenty-five billion, nine hundred sixty-one million, eight hundred eighty-six thousand, seven hundred twenty".