11578211287511 has 12 divisors (see below), whose sum is σ = 12767384793072. Its totient is φ = 10491802068000.

The previous prime is 11578211287477. The next prime is 11578211287583.

11578211287511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11578211287511 - 2³⁸ = 11303333380567 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11578211287511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578211287211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153801110 + ... + 153876371.

It is an arithmetic number, because the mean of its divisors is an integer number (1063948732756).

Almost surely, 2^{11578211287511} is an apocalyptic number.

11578211287511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11578211287511 is a deficient number, since it is larger than the sum of its proper divisors (1189173505561).

11578211287511 is a wasteful number, since it uses less digits than its factorization.

11578211287511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307677814 (or 307677803 counting only the distinct ones).

The product of its digits is 313600, while the sum is 50.

The spelling of 11578211287511 in words is "eleven trillion, five hundred seventy-eight billion, two hundred eleven million, two hundred eighty-seven thousand, five hundred eleven".