25548564564 has 96 divisors (see below), whose sum is σ = 69664250880. Its totient is φ = 8085916800.

The previous prime is 25548564551. The next prime is 25548564583. The reversal of 25548564564 is 46546584552.

25548564564 is a `hidden beast` number, since 2 + 5 + 548 + 56 + 45 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25548564564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105454 + ... + 249434.

It is an arithmetic number, because the mean of its divisors is an integer number (725669280).

Almost surely, 2^25548564564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25548564564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34832125440).

25548564564 is an abundant number, since it is smaller than the sum of its proper divisors (44115686316).

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

25548564564 is a wasteful number, since it uses less digits than its factorization.

25548564564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144078 (or 144070 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 25548564564 in words is "twenty-five billion, five hundred forty-eight million, five hundred sixty-four thousand, five hundred sixty-four".