11778871105295 has 64 divisors (see below), whose sum is σ = 16903993835520. Its totient is φ = 7703898436608.

The previous prime is 11778871105237. The next prime is 11778871105297. The reversal of 11778871105295 is 59250117887711.

It is a Cunningham number, because it is equal to 3432036²-1.

It is a cyclic number.

It is not a de Polignac number, because 11778871105295 - 2²⁶ = 11778803996431 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11778871105297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552546977 + ... + 552568293.

It is an arithmetic number, because the mean of its divisors is an integer number (264124903680).

Almost surely, 2^{11778871105295} is an apocalyptic number.

11778871105295 is a deficient number, since it is larger than the sum of its proper divisors (5125122730225).

11778871105295 is a wasteful number, since it uses less digits than its factorization.

11778871105295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264.

The product of its (nonzero) digits is 9878400, while the sum is 62.

The spelling of 11778871105295 in words is "eleven trillion, seven hundred seventy-eight billion, eight hundred seventy-one million, one hundred five thousand, two hundred ninety-five".