25560468760320 has 1296 divisors, whose sum is σ = 99649068704640. Its totient is φ = 6270315577344.

The previous prime is 25560468760313. The next prime is 25560468760349. The reversal of 25560468760320 is 2306786406552.

25560468760320 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 0 + 4 + 6 + 8 + 7 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 19922422399 + ... + 19922423681.

Almost surely, 2^{25560468760320} is an apocalyptic number.

25560468760320 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 25560468760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49824534352320).

25560468760320 is an abundant number, since it is smaller than the sum of its proper divisors (74088599944320).

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

25560468760320 is a wasteful number, since it uses less digits than its factorization.

25560468760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 25560468760320 in words is "twenty-five trillion, five hundred sixty billion, four hundred sixty-eight million, seven hundred sixty thousand, three hundred twenty".