25261088500566 has 72 divisors (see below), whose sum is σ = 57849956521344. Its totient is φ = 7965401315040.

The previous prime is 25261088500553. The next prime is 25261088500589. The reversal of 25261088500566 is 66500588016252.

It is a happy number.

25261088500566 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 1 + 0 + 88 + 500 + 56 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1528011 + ... + 7270281.

It is an arithmetic number, because the mean of its divisors is an integer number (803471618352).

Almost surely, 2^{25261088500566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25261088500566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28924978260672).

25261088500566 is an abundant number, since it is smaller than the sum of its proper divisors (32588868020778).

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

25261088500566 is a wasteful number, since it uses less digits than its factorization.

25261088500566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742994 (or 5742972 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 25261088500566 in words is "twenty-five trillion, two hundred sixty-one billion, eighty-eight million, five hundred thousand, five hundred sixty-six".