11956729586879 has 20 divisors (see below), whose sum is σ = 15031223991120. Its totient is φ = 9316932065760.

The previous prime is 11956729586833. The next prime is 11956729586897. The reversal of 11956729586879 is 97868592765911.

It is not a de Polignac number, because 11956729586879 - 2²⁸ = 11956461151423 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11956729586797 and 11956729586806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11956729589879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58230422 + ... + 58435395.

It is an arithmetic number, because the mean of its divisors is an integer number (751561199556).

Almost surely, 2^{11956729586879} is an apocalyptic number.

11956729586879 is a deficient number, since it is larger than the sum of its proper divisors (3074494404241).

11956729586879 is an frugal number, since it uses more digits than its factorization.

11956729586879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116665868 (or 116665835 counting only the distinct ones).

The product of its digits is 4115059200, while the sum is 83.

The spelling of 11956729586879 in words is "eleven trillion, nine hundred fifty-six billion, seven hundred twenty-nine million, five hundred eighty-six thousand, eight hundred seventy-nine".