25722640208160 has 960 divisors, whose sum is σ = 107939455303680. Its totient is φ = 5644920637440.

The previous prime is 25722640208149. The next prime is 25722640208173. The reversal of 25722640208160 is 6180204622752.

25722640208160 is a `hidden beast` number, since 2 + 5 + 7 + 226 + 402 + 0 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 357128631 + ... + 357200649.

It is an arithmetic number, because the mean of its divisors is an integer number (112436932608).

Almost surely, 2^{25722640208160} is an apocalyptic number.

25722640208160 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 25722640208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969727651840).

25722640208160 is an abundant number, since it is smaller than the sum of its proper divisors (82216815095520).

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

25722640208160 is a wasteful number, since it uses less digits than its factorization.

25722640208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72211 (or 72194 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25722640208160 in words is "twenty-five trillion, seven hundred twenty-two billion, six hundred forty million, two hundred eight thousand, one hundred sixty".