13254588864 has 168 divisors, whose sum is σ = 41552500080. Its totient is φ = 4006195200.

The previous prime is 13254588857. The next prime is 13254588889. The reversal of 13254588864 is 46888545231.

13254588864 is a `hidden beast` number, since 1 + 3 + 2 + 54 + 588 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13254588864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2664972 + ... + 2669940.

It is an arithmetic number, because the mean of its divisors is an integer number (247336310).

Almost surely, 2^13254588864 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 13254588864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776250040).

13254588864 is an abundant number, since it is smaller than the sum of its proper divisors (28297911216).

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

13254588864 is a wasteful number, since it uses less digits than its factorization.

13254588864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5406 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 13254588864 in words is "thirteen billion, two hundred fifty-four million, five hundred eighty-eight thousand, eight hundred sixty-four".