25956781849600 has 264 divisors, whose sum is σ = 73560688519968. Its totient is φ = 8896118784000.

The previous prime is 25956781849589. The next prime is 25956781849627. The reversal of 25956781849600 is 694818765952.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 25956781849600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501913344 + ... + 501965056.

Almost surely, 2^{25956781849600} is an apocalyptic number.

25956781849600 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 25956781849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36780344259984).

25956781849600 is an abundant number, since it is smaller than the sum of its proper divisors (47603906670368).

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

25956781849600 is a wasteful number, since it uses less digits than its factorization.

25956781849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54551 (or 54528 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 70.

The spelling of 25956781849600 in words is "twenty-five trillion, nine hundred fifty-six billion, seven hundred eighty-one million, eight hundred forty-nine thousand, six hundred".