25765979382 has 288 divisors, whose sum is σ = 73378206720. Its totient is φ = 6422768640.

The previous prime is 25765979357. The next prime is 25765979387. The reversal of 25765979382 is 28397956752.

25765979382 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 597 + 9 + 38 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25765979387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14132923 + ... + 14134745.

It is an arithmetic number, because the mean of its divisors is an integer number (254785440).

Almost surely, 2^25765979382 is an apocalyptic number.

25765979382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25765979382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689103360).

25765979382 is an abundant number, since it is smaller than the sum of its proper divisors (47612227338).

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

25765979382 is a wasteful number, since it uses less digits than its factorization.

25765979382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1888 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 25765979382 in words is "twenty-five billion, seven hundred sixty-five million, nine hundred seventy-nine thousand, three hundred eighty-two".