15005242240000 has 330 divisors, whose sum is σ = 38026326720932. Its totient is φ = 5916288000000.

The previous prime is 15005242239997. The next prime is 15005242240123. The reversal of 15005242240000 is 4224250051.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 29 ways as a sum of consecutive naturals, for example, 3226237675 + ... + 3226242325.

Almost surely, 2^{15005242240000} is an apocalyptic number.

15005242240000 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 15005242240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013163360466).

15005242240000 is an abundant number, since it is smaller than the sum of its proper divisors (23021084480932).

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

15005242240000 is an frugal number, since it uses more digits than its factorization.

15005242240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 15005242240000 its reverse (4224250051), we get a palindrome (15009466490051).

The spelling of 15005242240000 in words is "fifteen trillion, five billion, two hundred forty-two million, two hundred forty thousand".