13261615488 has 480 divisors, whose sum is σ = 44855517960. Its totient is φ = 3889036800.

The previous prime is 13261615487. The next prime is 13261615511. The reversal of 13261615488 is 88451616231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13261615488 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 161 + 5 + 488 = 666.

It is a super-2 number, since 2×13261615488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261615487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 427794033 + ... + 427794063.

Almost surely, 2^13261615488 is an apocalyptic number.

13261615488 is a gapful number since it is divisible by the number (18) 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 13261615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427758980).

13261615488 is an abundant number, since it is smaller than the sum of its proper divisors (31593902472).

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

13261615488 is an frugal number, since it uses more digits than its factorization.

13261615488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 47 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 13261615488 in words is "thirteen billion, two hundred sixty-one million, six hundred fifteen thousand, four hundred eighty-eight".