13290662240928 has 288 divisors, whose sum is σ = 39368104828416. Its totient is φ = 4410700293888.

The previous prime is 13290662240909. The next prime is 13290662240951. The reversal of 13290662240928 is 82904226609231.

13290662240928 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 6 + 622 + 4 + 0 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 3668411725 + ... + 3668415347.

It is an arithmetic number, because the mean of its divisors is an integer number (136694808432).

Almost surely, 2^{13290662240928} is an apocalyptic number.

13290662240928 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 13290662240928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684052414208).

13290662240928 is an abundant number, since it is smaller than the sum of its proper divisors (26077442587488).

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

13290662240928 is a wasteful number, since it uses less digits than its factorization.

13290662240928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 13290662240928 in words is "thirteen trillion, two hundred ninety billion, six hundred sixty-two million, two hundred forty thousand, nine hundred twenty-eight".