13215440500500 has 384 divisors, whose sum is σ = 44152374389760. Its totient is φ = 3008920780800.

The previous prime is 13215440500487. The next prime is 13215440500511. The reversal of 13215440500500 is 500504451231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6630927504 + ... + 6630929496.

It is an arithmetic number, because the mean of its divisors is an integer number (114980141640).

Almost surely, 2^{13215440500500} is an apocalyptic number.

13215440500500 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 13215440500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076187194880).

13215440500500 is an abundant number, since it is smaller than the sum of its proper divisors (30936933889260).

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

13215440500500 is a wasteful number, since it uses less digits than its factorization.

13215440500500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 13215440500500 its reverse (500504451231), we get a palindrome (13715944951731).

The spelling of 13215440500500 in words is "thirteen trillion, two hundred fifteen billion, four hundred forty million, five hundred thousand, five hundred".