25675860672 has 336 divisors, whose sum is σ = 96587462400. Its totient is φ = 6317844480.

The previous prime is 25675860649. The next prime is 25675860673. The reversal of 25675860672 is 27606857652.

25675860672 is a `hidden beast` number, since 2 + 56 + 7 + 586 + 0 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25675860673) by changing a digit.

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, 827454 + ... + 857922.

Almost surely, 2^25675860672 is an apocalyptic number.

25675860672 is a gapful number since it is divisible by the number (22) 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 25675860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48293731200).

25675860672 is an abundant number, since it is smaller than the sum of its proper divisors (70911601728).

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

25675860672 is a wasteful number, since it uses less digits than its factorization.

25675860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30524 (or 30511 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 25675860672 in words is "twenty-five billion, six hundred seventy-five million, eight hundred sixty thousand, six hundred seventy-two".