25420117675680 has 2688 divisors, whose sum is σ = 115442499110400. Its totient is φ = 5142366093312.

The previous prime is 25420117675679. The next prime is 25420117675739. The reversal of 25420117675680 is 8657671102452.

It is a happy number.

25420117675680 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 0 + 1 + 1 + 76 + 7 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 82801686087 + ... + 82801686393.

It is an arithmetic number, because the mean of its divisors is an integer number (42947358300).

Almost surely, 2^{25420117675680} is an apocalyptic number.

25420117675680 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 25420117675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57721249555200).

25420117675680 is an abundant number, since it is smaller than the sum of its proper divisors (90022381434720).

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

25420117675680 is a wasteful number, since it uses less digits than its factorization.

25420117675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 25420117675680 in words is "twenty-five trillion, four hundred twenty billion, one hundred seventeen million, six hundred seventy-five thousand, six hundred eighty".