25655395852800 has 2880 divisors, whose sum is σ = 115226267904000. Its totient is φ = 5564082585600.

The previous prime is 25655395852759. The next prime is 25655395852813. The reversal of 25655395852800 is 825859355652.

25655395852800 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 53 + 9 + 58 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77508748635 + ... + 77508748965.

It is an arithmetic number, because the mean of its divisors is an integer number (40009120800).

Almost surely, 2^{25655395852800} is an apocalyptic number.

25655395852800 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 25655395852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57613133952000).

25655395852800 is an abundant number, since it is smaller than the sum of its proper divisors (89570872051200).

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

25655395852800 is a wasteful number, since it uses less digits than its factorization.

25655395852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 129600000, while the sum is 63.

The spelling of 25655395852800 in words is "twenty-five trillion, six hundred fifty-five billion, three hundred ninety-five million, eight hundred fifty-two thousand, eight hundred".