25960386816 has 576 divisors, whose sum is σ = 95462976000. Its totient is φ = 6776193024.

The previous prime is 25960386811. The next prime is 25960386817. The reversal of 25960386816 is 61868306952.

It is a happy number.

25960386816 is a `hidden beast` number, since 2 + 596 + 0 + 38 + 6 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (25960386811) 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 63 ways as a sum of consecutive naturals, for example, 93719670 + ... + 93719946.

Almost surely, 2^25960386816 is an apocalyptic number.

25960386816 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 25960386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47731488000).

25960386816 is an abundant number, since it is smaller than the sum of its proper divisors (69502589184).

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

25960386816 is a wasteful number, since it uses less digits than its factorization.

25960386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25960386816 in words is "twenty-five billion, nine hundred sixty million, three hundred eighty-six thousand, eight hundred sixteen".