25760661273312 has 288 divisors, whose sum is σ = 80172015138432. Its totient is φ = 7218992342016.

The previous prime is 25760661273257. The next prime is 25760661273349. The reversal of 25760661273312 is 21337216606752.

It is a happy number.

It is a super-2 number, since 2×25760661273312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 864349803 + ... + 864379605.

It is an arithmetic number, because the mean of its divisors is an integer number (278375052564).

Almost surely, 2^{25760661273312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25760661273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40086007569216).

25760661273312 is an abundant number, since it is smaller than the sum of its proper divisors (54411353865120).

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

25760661273312 is a wasteful number, since it uses less digits than its factorization.

25760661273312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33350 (or 33335 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 25760661273312 in words is "twenty-five trillion, seven hundred sixty billion, six hundred sixty-one million, two hundred seventy-three thousand, three hundred twelve".