13435263991728 has 200 divisors, whose sum is σ = 40230692124480. Its totient is φ = 4323535211520.

The previous prime is 13435263991651. The next prime is 13435263991739. The reversal of 13435263991728 is 82719936253431.

13435263991728 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 526 + 3 + 99 + 17 + 2 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 681049801 + ... + 681069527.

Almost surely, 2^{13435263991728} is an apocalyptic number.

13435263991728 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 13435263991728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115346062240).

13435263991728 is an abundant number, since it is smaller than the sum of its proper divisors (26795428132752).

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

13435263991728 is a wasteful number, since it uses less digits than its factorization.

13435263991728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37897 (or 37882 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 13435263991728 in words is "thirteen trillion, four hundred thirty-five billion, two hundred sixty-three million, nine hundred ninety-one thousand, seven hundred twenty-eight".