25917247882680 has 1024 divisors, whose sum is σ = 101371847639040. Its totient is φ = 5143910400000.

The previous prime is 25917247882661. The next prime is 25917247882681. The reversal of 25917247882680 is 8628874271952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25917247882681) 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, 10617470260 + ... + 10617472700.

It is an arithmetic number, because the mean of its divisors is an integer number (98995944960).

Almost surely, 2^{25917247882680} is an apocalyptic number.

25917247882680 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 25917247882680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50685923819520).

25917247882680 is an abundant number, since it is smaller than the sum of its proper divisors (75454599756360).

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

25917247882680 is a wasteful number, since it uses less digits than its factorization.

25917247882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 25917247882680 in words is "twenty-five trillion, nine hundred seventeen billion, two hundred forty-seven million, eight hundred eighty-two thousand, six hundred eighty".