11577877511 has 8 divisors (see below), whose sum is σ = 11641591200. Its totient is φ = 11514219552.

The previous prime is 11577877483. The next prime is 11577877513.

11577877511 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11577877511 is a prime.

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 11577877511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577877513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443621 + ... + 468993.

It is an arithmetic number, because the mean of its divisors is an integer number (1455198900).

Almost surely, 2^11577877511 is an apocalyptic number.

11577877511 is a deficient number, since it is larger than the sum of its proper divisors (63713689).

11577877511 is a wasteful number, since it uses less digits than its factorization.

11577877511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27865.

The product of its digits is 480200, while the sum is 50.

The spelling of 11577877511 in words is "eleven billion, five hundred seventy-seven million, eight hundred seventy-seven thousand, five hundred eleven".