13515440000 has 80 divisors (see below), whose sum is σ = 33646042320. Its totient is φ = 5406144000.

The previous prime is 13515439981. The next prime is 13515440023. The reversal of 13515440000 is 4451531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4472 + ... + 164471.

It is an arithmetic number, because the mean of its divisors is an integer number (420575529).

Almost surely, 2^13515440000 is an apocalyptic number.

13515440000 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 13515440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823021160).

13515440000 is an abundant number, since it is smaller than the sum of its proper divisors (20130602320).

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

13515440000 is an frugal number, since it uses more digits than its factorization.

13515440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168977 (or 168950 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 13515440000 its reverse (4451531), we get a palindrome (13519891531).

The spelling of 13515440000 in words is "thirteen billion, five hundred fifteen million, four hundred forty thousand".