25360889040 has 180 divisors, whose sum is σ = 86225691396. Its totient is φ = 6680116224.

The previous prime is 25360889039. The next prime is 25360889053. The reversal of 25360889040 is 4098806352.

It can be written as a sum of positive squares in 2 ways, for example, as 3337141824 + 22023747216 = 57768^2 + 148404^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 4957524 + ... + 4962636.

Almost surely, 2^25360889040 is an apocalyptic number.

25360889040 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 25360889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43112845698).

25360889040 is an abundant number, since it is smaller than the sum of its proper divisors (60864802356).

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

25360889040 is a wasteful number, since it uses less digits than its factorization.

25360889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 25360889040 in words is "twenty-five billion, three hundred sixty million, eight hundred eighty-nine thousand, forty".