15005540000000 has 288 divisors, whose sum is σ = 40844764187136. Its totient is φ = 5456480000000.

The previous prime is 15005539999999. The next prime is 15005540000039. The reversal of 15005540000000 is 4550051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219965897 + ... + 220034103.

It is an arithmetic number, because the mean of its divisors is an integer number (141822097872).

Almost surely, 2^{15005540000000} is an apocalyptic number.

15005540000000 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 15005540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422382093568).

15005540000000 is an abundant number, since it is smaller than the sum of its proper divisors (25839224187136).

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

15005540000000 is an frugal number, since it uses more digits than its factorization.

15005540000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68269 (or 68225 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 15005540000000 its reverse (4550051), we get a palindrome (15005544550051).

The spelling of 15005540000000 in words is "fifteen trillion, five billion, five hundred forty million", and thus it is an aban number.