11956729586881 has 6 divisors (see below), whose sum is σ = 12081265625670. Its totient is φ = 11833464324096.

The previous prime is 11956729586833. The next prime is 11956729586897. The reversal of 11956729586881 is 18868592765911.

It can be written as a sum of positive squares in 3 ways, for example, as 4510292825025 + 7446436761856 = 2123745^2 + 2728816^2 .

It is not a de Polignac number, because 11956729586881 - 2³⁵ = 11922369848513 is a prime.

It is a super-2 number, since 2×11956729586881² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11956729586798 and 11956729586807.

It is not an unprimeable number, because it can be changed into a prime (11956729586831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 635378496 + ... + 635397313.

It is an arithmetic number, because the mean of its divisors is an integer number (2013544270945).

Almost surely, 2^{11956729586881} is an apocalyptic number.

It is an amenable number.

11956729586881 is a deficient number, since it is larger than the sum of its proper divisors (124536038789).

11956729586881 is an frugal number, since it uses more digits than its factorization.

11956729586881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270776003 (or 1270775906 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 76.

The spelling of 11956729586881 in words is "eleven trillion, nine hundred fifty-six billion, seven hundred twenty-nine million, five hundred eighty-six thousand, eight hundred eighty-one".