15005340200 has 96 divisors (see below), whose sum is σ = 36305042400. Its totient is φ = 5762991360.

The previous prime is 15005340151. The next prime is 15005340221. The reversal of 15005340200 is 204350051.

15005340200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 492614 + ... + 522186.

It is an arithmetic number, because the mean of its divisors is an integer number (378177525).

Almost surely, 2^15005340200 is an apocalyptic number.

15005340200 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 15005340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18152521200).

15005340200 is an abundant number, since it is smaller than the sum of its proper divisors (21299702200).

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

15005340200 is a wasteful number, since it uses less digits than its factorization.

15005340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29691 (or 29682 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 15005340200 its reverse (204350051), we get a palindrome (15209690251).

The spelling of 15005340200 in words is "fifteen billion, five million, three hundred forty thousand, two hundred".