11691724140 has 96 divisors (see below), whose sum is σ = 36660879360. Its totient is φ = 3093225408.

The previous prime is 11691724139. The next prime is 11691724169. The reversal of 11691724140 is 4142719611.

11691724140 is a `hidden beast` number, since 11 + 69 + 172 + 414 + 0 = 666.

11691724140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11691724095 and 11691724104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16662 + ... + 153821.

It is an arithmetic number, because the mean of its divisors is an integer number (381884160).

Almost surely, 2^11691724140 is an apocalyptic number.

11691724140 is a gapful number since it is divisible by the number (10) 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 11691724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330439680).

11691724140 is an abundant number, since it is smaller than the sum of its proper divisors (24969155220).

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

11691724140 is a wasteful number, since it uses less digits than its factorization.

11691724140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170628 (or 170620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11691724140 in words is "eleven billion, six hundred ninety-one million, seven hundred twenty-four thousand, one hundred forty".