11792164230 has 192 divisors, whose sum is σ = 38369230848. Its totient is φ = 2441076480.

The previous prime is 11792164213. The next prime is 11792164231. The reversal of 11792164230 is 3246129711.

11792164230 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 2 + 1 + 642 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792164231) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1916539 + ... + 1922681.

It is an arithmetic number, because the mean of its divisors is an integer number (199839744).

Almost surely, 2^11792164230 is an apocalyptic number.

11792164230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11792164230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184615424).

11792164230 is an abundant number, since it is smaller than the sum of its proper divisors (26577066618).

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

11792164230 is a wasteful number, since it uses less digits than its factorization.

11792164230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11792164230 in words is "eleven billion, seven hundred ninety-two million, one hundred sixty-four thousand, two hundred thirty".