11712191305776 has 160 divisors (see below), whose sum is σ = 32791308930240. Its totient is φ = 3580886679552.

The previous prime is 11712191305757. The next prime is 11712191305813. The reversal of 11712191305776 is 67750319121711.

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 31 ways as a sum of consecutive naturals, for example, 61819320 + ... + 62008488.

It is an arithmetic number, because the mean of its divisors is an integer number (204945680814).

Almost surely, 2^{11712191305776} is an apocalyptic number.

11712191305776 is a gapful number since it is divisible by the number (16) 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 11712191305776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395654465120).

11712191305776 is an abundant number, since it is smaller than the sum of its proper divisors (21079117624464).

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

11712191305776 is a wasteful number, since it uses less digits than its factorization.

11712191305776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189823 (or 189817 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 51.

The spelling of 11712191305776 in words is "eleven trillion, seven hundred twelve billion, one hundred ninety-one million, three hundred five thousand, seven hundred seventy-six".