15381995200 has 672 divisors, whose sum is σ = 48256911360. Its totient is φ = 4744396800.

The previous prime is 15381995173. The next prime is 15381995257. The reversal of 15381995200 is 259918351.

It is a happy number.

15381995200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194708761 + ... + 194708839.

It is an arithmetic number, because the mean of its divisors is an integer number (71810880).

Almost surely, 2^15381995200 is an apocalyptic number.

15381995200 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 15381995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24128455680).

15381995200 is an abundant number, since it is smaller than the sum of its proper divisors (32874916160).

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

15381995200 is a wasteful number, since it uses less digits than its factorization.

15381995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 15381995200 in words is "fifteen billion, three hundred eighty-one million, nine hundred ninety-five thousand, two hundred".