11777128166067 has 32 divisors (see below), whose sum is σ = 17323015449600. Its totient is φ = 7057572000000.

The previous prime is 11777128166053. The next prime is 11777128166099. The reversal of 11777128166067 is 76066182177711.

It is a happy number.

11777128166067 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 11777128166067 - 2¹⁰ = 11777128165043 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11777128166067.

It is not an unprimeable number, because it can be changed into a prime (11777128166267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150559 + ... + 4855607.

It is an arithmetic number, because the mean of its divisors is an integer number (541344232800).

Almost surely, 2^{11777128166067} is an apocalyptic number.

11777128166067 is a deficient number, since it is larger than the sum of its proper divisors (5545887283533).

11777128166067 is a wasteful number, since it uses less digits than its factorization.

11777128166067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705915.

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 11777128166067 in words is "eleven trillion, seven hundred seventy-seven billion, one hundred twenty-eight million, one hundred sixty-six thousand, sixty-seven".