25961436016560 has 400 divisors, whose sum is σ = 101023520143392. Its totient is φ = 6123581337600.

The previous prime is 25961436016501. The next prime is 25961436016561. The reversal of 25961436016560 is 6561063416952.

25961436016560 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 1 + 4 + 3 + 60 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25961436016497 and 25961436016506.

It is not an unprimeable number, because it can be changed into a prime (25961436016561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2284501 + ... + 7559220.

Almost surely, 2^{25961436016560} is an apocalyptic number.

25961436016560 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 25961436016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50511760071696).

25961436016560 is an abundant number, since it is smaller than the sum of its proper divisors (75062084126832).

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

25961436016560 is a wasteful number, since it uses less digits than its factorization.

25961436016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843794 (or 9843779 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 25961436016560 in words is "twenty-five trillion, nine hundred sixty-one billion, four hundred thirty-six million, sixteen thousand, five hundred sixty".