13291011827856 has 2025 divisors, whose sum is σ = 51071607073179. Its totient is φ = 3326263750656.

The previous prime is 13291011827827. The next prime is 13291011827881. The reversal of 13291011827856 is 65872811019231.

The square root of 13291011827856 is 3645684.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6182602682256 + 7108409145600 = 2486484^2 + 2666160^2 .

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 (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 359216535870 + ... + 359216535906.

Almost surely, 2^{13291011827856} is an apocalyptic number.

13291011827856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13291011827856 is the 3645684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13291011827856

13291011827856 is an abundant number, since it is smaller than the sum of its proper divisors (37780595245323).

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

13291011827856 is a wasteful number, since it uses less digits than its factorization.

13291011827856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 13291011827856 in words is "thirteen trillion, two hundred ninety-one billion, eleven million, eight hundred twenty-seven thousand, eight hundred fifty-six".