13820888736 has 120 divisors (see below), whose sum is σ = 40749356340. Its totient is φ = 4595346432.

The previous prime is 13820888713. The next prime is 13820888737. The reversal of 13820888736 is 63788802831.

It can be written as a sum of positive squares in 2 ways, for example, as 12334323600 + 1486565136 = 111060^2 + 38556^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13820888737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1053610 + ... + 1066646.

Almost surely, 2^13820888736 is an apocalyptic number.

13820888736 is a gapful number since it is divisible by the number (16) 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 13820888736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374678170).

13820888736 is an abundant number, since it is smaller than the sum of its proper divisors (26928467604).

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

13820888736 is a wasteful number, since it uses less digits than its factorization.

13820888736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13468 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13820888736 in words is "thirteen billion, eight hundred twenty million, eight hundred eighty-eight thousand, seven hundred thirty-six".