15200115200 has 60 divisors (see below), whose sum is σ = 37659504630. Its totient is φ = 6080040960.

The previous prime is 15200115199. The next prime is 15200115211. The reversal of 15200115200 is 251100251.

15200115200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8349573376 + 6850541824 = 91376^2 + 82768^2 .

It is a super-5 number, since 5×15200115200⁵ (a number of 52 digits) contains 55555 as substring.

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 5 ways as a sum of consecutive naturals, for example, 580955 + ... + 606554.

Almost surely, 2^15200115200 is an apocalyptic number.

15200115200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15200115200 is an abundant number, since it is smaller than the sum of its proper divisors (22459389430).

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

15200115200 is an equidigital number, since it uses as much as digits as its factorization.

15200115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187537 (or 1187516 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 15200115200 its reverse (251100251), we get a palindrome (15451215451).

The spelling of 15200115200 in words is "fifteen billion, two hundred million, one hundred fifteen thousand, two hundred".