13806267720 has 256 divisors, whose sum is σ = 48043860480. Its totient is φ = 3108864000.

The previous prime is 13806267703. The next prime is 13806267731. The reversal of 13806267720 is 2776260831.

It is a super-2 number, since 2×13806267720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 29948290 + ... + 29948750.

It is an arithmetic number, because the mean of its divisors is an integer number (187671330).

Almost surely, 2^13806267720 is an apocalyptic number.

13806267720 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 13806267720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021930240).

13806267720 is an abundant number, since it is smaller than the sum of its proper divisors (34237592760).

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

13806267720 is a wasteful number, since it uses less digits than its factorization.

13806267720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 13806267720 in words is "thirteen billion, eight hundred six million, two hundred sixty-seven thousand, seven hundred twenty".