11605577676 has 144 divisors (see below), whose sum is σ = 34629420672. Its totient is φ = 2991206400.

The previous prime is 11605577623. The next prime is 11605577677. The reversal of 11605577676 is 67677550611.

It is not an unprimeable number, because it can be changed into a prime (11605577677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 840460 + ... + 854156.

It is an arithmetic number, because the mean of its divisors is an integer number (240482088).

Almost surely, 2^11605577676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11605577676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314710336).

11605577676 is an abundant number, since it is smaller than the sum of its proper divisors (23023842996).

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

11605577676 is a wasteful number, since it uses less digits than its factorization.

11605577676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 11605577676 in words is "eleven billion, six hundred five million, five hundred seventy-seven thousand, six hundred seventy-six".