25819295744 has 78 divisors (see below), whose sum is σ = 56400637644. Its totient is φ = 11720540160.

The previous prime is 25819295743. The next prime is 25819295753. The reversal of 25819295744 is 44759291852.

It is a super-2 number, since 2×25819295744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25819295744.

It is not an unprimeable number, because it can be changed into a prime (25819295743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34107014 + ... + 34107770.

It is an arithmetic number, because the mean of its divisors is an integer number (723085098).

Almost surely, 2^25819295744 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 25819295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200318822).

25819295744 is an abundant number, since it is smaller than the sum of its proper divisors (30581341900).

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

25819295744 is an frugal number, since it uses more digits than its factorization.

25819295744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 770 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 56.

The spelling of 25819295744 in words is "twenty-five billion, eight hundred nineteen million, two hundred ninety-five thousand, seven hundred forty-four".