11679408075 has 18 divisors (see below), whose sum is σ = 19311502204. Its totient is φ = 6228518480.

The previous prime is 11679408047. The next prime is 11679408089. The reversal of 11679408075 is 57080497611.

It is not a de Polignac number, because 11679408075 - 2⁶ = 11679408011 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 929686 + ... + 942164.

Almost surely, 2^11679408075 is an apocalyptic number.

11679408075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11679408075 is a deficient number, since it is larger than the sum of its proper divisors (7632094129).

11679408075 is an frugal number, since it uses more digits than its factorization.

11679408075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24971 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

Multiplying 11679408075 by its sum of digits (48), we get a square (560611587600 = 748740²).

The spelling of 11679408075 in words is "eleven billion, six hundred seventy-nine million, four hundred eight thousand, seventy-five".