25646976560 has 80 divisors (see below), whose sum is σ = 63170733600. Its totient is φ = 9650147328.

The previous prime is 25646976541. The next prime is 25646976581. The reversal of 25646976560 is 6567964652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 25646976496 and 25646976505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340406 + ... + 3348074.

It is an arithmetic number, because the mean of its divisors is an integer number (789634170).

Almost surely, 2^25646976560 is an apocalyptic number.

25646976560 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 25646976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585366800).

25646976560 is an abundant number, since it is smaller than the sum of its proper divisors (37523757040).

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

25646976560 is a wasteful number, since it uses less digits than its factorization.

25646976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 25646976560 in words is "twenty-five billion, six hundred forty-six million, nine hundred seventy-six thousand, five hundred sixty".