11757105675 has 144 divisors (see below), whose sum is σ = 24921029952. Its totient is φ = 5186764800.

The previous prime is 11757105649. The next prime is 11757105683. The reversal of 11757105675 is 57650175711.

11757105675 is a `hidden beast` number, since 1 + 1 + 7 + 571 + 0 + 5 + 6 + 75 = 666.

11757105675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11757105675 - 2¹⁰ = 11757104651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11757105675.

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 143 ways as a sum of consecutive naturals, for example, 6262837 + ... + 6264713.

It is an arithmetic number, because the mean of its divisors is an integer number (173062708).

Almost surely, 2^11757105675 is an apocalyptic number.

11757105675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11757105675 is an abundant number, since it is smaller than the sum of its proper divisors (13163924277).

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

11757105675 is a wasteful number, since it uses less digits than its factorization.

11757105675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 257250, while the sum is 45.

The spelling of 11757105675 in words is "eleven billion, seven hundred fifty-seven million, one hundred five thousand, six hundred seventy-five".