25957895040 has 960 divisors, whose sum is σ = 117764895600. Its totient is φ = 5388042240.

The previous prime is 25957894997. The next prime is 25957895063. The reversal of 25957895040 is 4059875952.

25957895040 is a `hidden beast` number, since 2 + 5 + 9 + 57 + 89 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941296 + ... + 27942224.

Almost surely, 2^25957895040 is an apocalyptic number.

25957895040 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 25957895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58882447800).

25957895040 is an abundant number, since it is smaller than the sum of its proper divisors (91807000560).

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

25957895040 is a wasteful number, since it uses less digits than its factorization.

25957895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 25957895040 in words is "twenty-five billion, nine hundred fifty-seven million, eight hundred ninety-five thousand, forty".