13820735565 has 512 divisors, whose sum is σ = 34913894400. Its totient is φ = 5079158784.

The previous prime is 13820735563. The next prime is 13820735567. The reversal of 13820735565 is 56553702831.

13820735565 is a `hidden beast` number, since 1 + 3 + 8 + 20 + 73 + 556 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (13820735563) and next prime (13820735567).

It is not a de Polignac number, because 13820735565 - 2¹ = 13820735563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13820735565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13820735563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 321412434 + ... + 321412476.

It is an arithmetic number, because the mean of its divisors is an integer number (68191200).

Almost surely, 2^13820735565 is an apocalyptic number.

13820735565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13820735565 is an abundant number, since it is smaller than the sum of its proper divisors (21093158835).

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

13820735565 is a wasteful number, since it uses less digits than its factorization.

13820735565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 13820735565 in words is "thirteen billion, eight hundred twenty million, seven hundred thirty-five thousand, five hundred sixty-five".