13887387200 has 42 divisors (see below), whose sum is σ = 34171656066. Its totient is φ = 5554954240.

The previous prime is 13887387197. The next prime is 13887387203. The reversal of 13887387200 is 278378831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13887387197) and next prime (13887387203).

It can be written as a sum of positive squares in 3 ways, for example, as 2443522624 + 11443864576 = 49432^2 + 106976^2 .

It is not an unprimeable number, because it can be changed into a prime (13887387203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4338209 + ... + 4341408.

Almost surely, 2^13887387200 is an apocalyptic number.

13887387200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13887387200 is an abundant number, since it is smaller than the sum of its proper divisors (20284268866).

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

13887387200 is an equidigital number, since it uses as much as digits as its factorization.

13887387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679639 (or 8679624 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 13887387200 in words is "thirteen billion, eight hundred eighty-seven million, three hundred eighty-seven thousand, two hundred".