25705816165920 has 384 divisors, whose sum is σ = 91880170905600. Its totient is φ = 5984649216000.

The previous prime is 25705816165849. The next prime is 25705816165943. The reversal of 25705816165920 is 2956161850752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20842656 + ... + 22041504.

It is an arithmetic number, because the mean of its divisors is an integer number (239271278400).

Almost surely, 2^{25705816165920} is an apocalyptic number.

25705816165920 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 25705816165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45940085452800).

25705816165920 is an abundant number, since it is smaller than the sum of its proper divisors (66174354739680).

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

25705816165920 is a wasteful number, since it uses less digits than its factorization.

25705816165920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199040 (or 1199032 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 25705816165920 in words is "twenty-five trillion, seven hundred five billion, eight hundred sixteen million, one hundred sixty-five thousand, nine hundred twenty".