25826668140 has 288 divisors, whose sum is σ = 90835867584. Its totient is φ = 5434490880.

The previous prime is 25826668103. The next prime is 25826668151. The reversal of 25826668140 is 4186662852.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25826668140.

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 95 ways as a sum of consecutive naturals, for example, 19911972 + ... + 19913268.

It is an arithmetic number, because the mean of its divisors is an integer number (315402318).

Almost surely, 2^25826668140 is an apocalyptic number.

25826668140 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 25826668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417933792).

25826668140 is an abundant number, since it is smaller than the sum of its proper divisors (65009199444).

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

25826668140 is a wasteful number, since it uses less digits than its factorization.

25826668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 25826668140 in words is "twenty-five billion, eight hundred twenty-six million, six hundred sixty-eight thousand, one hundred forty".