13820518566 has 96 divisors (see below), whose sum is σ = 32749516800. Its totient is φ = 4356154080.

The previous prime is 13820518519. The next prime is 13820518583. The reversal of 13820518566 is 66581502831.

13820518566 is a `hidden beast` number, since 1 + 3 + 82 + 0 + 5 + 1 + 8 + 566 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6545851 + ... + 6547961.

It is an arithmetic number, because the mean of its divisors is an integer number (341140800).

Almost surely, 2^13820518566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820518566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374758400).

13820518566 is an abundant number, since it is smaller than the sum of its proper divisors (18928998234).

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

13820518566 is a wasteful number, since it uses less digits than its factorization.

13820518566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13820518566 in words is "thirteen billion, eight hundred twenty million, five hundred eighteen thousand, five hundred sixty-six".