25560215614560 has 288 divisors, whose sum is σ = 88994053451520. Its totient is φ = 6161796551680.

The previous prime is 25560215614501. The next prime is 25560215614561. The reversal of 25560215614560 is 6541651206552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25560215614561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9167029 + ... + 11625611.

It is an arithmetic number, because the mean of its divisors is an integer number (309007130040).

Almost surely, 2^{25560215614560} is an apocalyptic number.

25560215614560 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 25560215614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44497026725760).

25560215614560 is an abundant number, since it is smaller than the sum of its proper divisors (63433837836960).

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

25560215614560 is a wasteful number, since it uses less digits than its factorization.

25560215614560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458802 (or 2458783 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 25560215614560 in words is "twenty-five trillion, five hundred sixty billion, two hundred fifteen million, six hundred fourteen thousand, five hundred sixty".