11832162909930 has 288 divisors, whose sum is σ = 34390423476864. Its totient is φ = 2819789280000.

The previous prime is 11832162909911. The next prime is 11832162909961. The reversal of 11832162909930 is 3990926123811.

11832162909930 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 2 + 1 + 629 + 0 + 9 + 9 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268274880 + ... + 268318980.

It is an arithmetic number, because the mean of its divisors is an integer number (119411192628).

Almost surely, 2^{11832162909930} is an apocalyptic number.

11832162909930 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 11832162909930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195211738432).

11832162909930 is an abundant number, since it is smaller than the sum of its proper divisors (22558260566934).

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

11832162909930 is a wasteful number, since it uses less digits than its factorization.

11832162909930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44554 (or 44540 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11832162909930 in words is "eleven trillion, eight hundred thirty-two billion, one hundred sixty-two million, nine hundred nine thousand, nine hundred thirty".