13807380800 has 42 divisors (see below), whose sum is σ = 33974790318. Its totient is φ = 5522951680.

The previous prime is 13807380779. The next prime is 13807380803. The reversal of 13807380800 is 808370831.

It can be written as a sum of positive squares in 3 ways, for example, as 1473945664 + 12333435136 = 38392^2 + 111056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807380803) 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 5 ways as a sum of consecutive naturals, for example, 4313207 + ... + 4316406.

It is an arithmetic number, because the mean of its divisors is an integer number (808923579).

Almost surely, 2^13807380800 is an apocalyptic number.

13807380800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13807380800 is an abundant number, since it is smaller than the sum of its proper divisors (20167409518).

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

13807380800 is an equidigital number, since it uses as much as digits as its factorization.

13807380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629635 (or 8629620 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 13807380800 in words is "thirteen billion, eight hundred seven million, three hundred eighty thousand, eight hundred".