25650717121680 has 1280 divisors, whose sum is σ = 98771095388160. Its totient is φ = 5374631706624.

The previous prime is 25650717121643. The next prime is 25650717121681. The reversal of 25650717121680 is 8612171705652.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (25650717121681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71450465341 + ... + 71450465699.

It is an arithmetic number, because the mean of its divisors is an integer number (77164918272).

Almost surely, 2^{25650717121680} is an apocalyptic number.

25650717121680 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 25650717121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49385547694080).

25650717121680 is an abundant number, since it is smaller than the sum of its proper divisors (73120378266480).

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

25650717121680 is a wasteful number, since it uses less digits than its factorization.

25650717121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 25650717121680 in words is "twenty-five trillion, six hundred fifty billion, seven hundred seventeen million, one hundred twenty-one thousand, six hundred eighty".