15840161200900 has 81 divisors (see below), whose sum is σ = 34504666408317. Its totient is φ = 6311914022400.

The previous prime is 15840161200841. The next prime is 15840161200901. The reversal of 15840161200900 is 900216104851.

The square root of 15840161200900 is 3979970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6159301458436 + 9680859742464 = 2481794^2 + 3111408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15840161200900.

It is not an unprimeable number, because it can be changed into a prime (15840161200901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13412498310 + ... + 13412499490.

Almost surely, 2^{15840161200900} is an apocalyptic number.

15840161200900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15840161200900 is the 3979970-th square number.

It is an amenable number.

15840161200900 is an abundant number, since it is smaller than the sum of its proper divisors (18664505207417).

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

15840161200900 is an frugal number, since it uses more digits than its factorization.

15840161200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 15840161200900 in words is "fifteen trillion, eight hundred forty billion, one hundred sixty-one million, two hundred thousand, nine hundred".