25442330760 has 1152 divisors, whose sum is σ = 113191603200. Its totient is φ = 4885816320.

The previous prime is 25442330759. The next prime is 25442330783. The reversal of 25442330760 is 6703324452.

25442330760 is a `hidden beast` number, since 2 + 544 + 23 + 30 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 247012869 + ... + 247012971.

It is an arithmetic number, because the mean of its divisors is an integer number (98256600).

Almost surely, 2^25442330760 is an apocalyptic number.

25442330760 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 25442330760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56595801600).

25442330760 is an abundant number, since it is smaller than the sum of its proper divisors (87749272440).

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

25442330760 is a wasteful number, since it uses less digits than its factorization.

25442330760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 25442330760 in words is "twenty-five billion, four hundred forty-two million, three hundred thirty thousand, seven hundred sixty".