25981091136 has 336 divisors, whose sum is σ = 99990054528. Its totient is φ = 6229094400.

The previous prime is 25981091113. The next prime is 25981091173. The reversal of 25981091136 is 63119018952.

25981091136 is a `hidden beast` number, since 2 + 598 + 10 + 9 + 11 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 25981091091 and 25981091100.

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 47 ways as a sum of consecutive naturals, for example, 554046 + ... + 599106.

It is an arithmetic number, because the mean of its divisors is an integer number (297589448).

Almost surely, 2^25981091136 is an apocalyptic number.

25981091136 is a gapful number since it is divisible by the number (26) 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 25981091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49995027264).

25981091136 is an abundant number, since it is smaller than the sum of its proper divisors (74008963392).

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

25981091136 is a wasteful number, since it uses less digits than its factorization.

25981091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45110 (or 45097 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 25981091136 in words is "twenty-five billion, nine hundred eighty-one million, ninety-one thousand, one hundred thirty-six".