13565565000 has 240 divisors, whose sum is σ = 49444094700. Its totient is φ = 3339072000.

The previous prime is 13565564983. The next prime is 13565565017. The reversal of 13565565000 is 56556531.

13565565000 is a `hidden beast` number, since 1 + 3 + 56 + 556 + 50 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13565564983) and next prime (13565565017).

It can be written as a sum of positive squares in 10 ways, for example, as 2629843524 + 10935721476 = 51282^2 + 104574^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 573406 + ... + 596594.

Almost surely, 2^13565565000 is an apocalyptic number.

13565565000 is a gapful number since it is divisible by the number (10) 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 13565565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722047350).

13565565000 is an abundant number, since it is smaller than the sum of its proper divisors (35878529700).

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

13565565000 is a wasteful number, since it uses less digits than its factorization.

13565565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23234 (or 23212 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 13565565000 in words is "thirteen billion, five hundred sixty-five million, five hundred sixty-five thousand".