13215125456 has 80 divisors (see below), whose sum is σ = 28809406080. Its totient is φ = 5826670080.

The previous prime is 13215125431. The next prime is 13215125503. The reversal of 13215125456 is 65452151231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5648735 + ... + 5651073.

It is an arithmetic number, because the mean of its divisors is an integer number (360117576).

Almost surely, 2^13215125456 is an apocalyptic number.

13215125456 is a gapful number since it is divisible by the number (16) 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 13215125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404703040).

13215125456 is an abundant number, since it is smaller than the sum of its proper divisors (15594280624).

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

13215125456 is a wasteful number, since it uses less digits than its factorization.

13215125456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

Adding to 13215125456 its reverse (65452151231), we get a palindrome (78667276687).

The spelling of 13215125456 in words is "thirteen billion, two hundred fifteen million, one hundred twenty-five thousand, four hundred fifty-six".