11606879232 has 352 divisors, whose sum is σ = 37929436160. Its totient is φ = 3483648000.

The previous prime is 11606879227. The next prime is 11606879233. The reversal of 11606879232 is 23297860611.

11606879232 is a `hidden beast` number, since 1 + 1 + 606 + 8 + 7 + 9 + 2 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (11606879233) 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, 15454857 + ... + 15455607.

It is an arithmetic number, because the mean of its divisors is an integer number (107754080).

Almost surely, 2^11606879232 is an apocalyptic number.

11606879232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11606879232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964718080).

11606879232 is an abundant number, since it is smaller than the sum of its proper divisors (26322556928).

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

11606879232 is a wasteful number, since it uses less digits than its factorization.

11606879232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11606879232 in words is "eleven billion, six hundred six million, eight hundred seventy-nine thousand, two hundred thirty-two".