11829705145920 has 336 divisors, whose sum is σ = 40984849825920. Its totient is φ = 3131719262208.

The previous prime is 11829705145897. The next prime is 11829705145931. The reversal of 11829705145920 is 2954150792811.

11829705145920 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 9 + 70 + 514 + 59 + 2 + 0 = 666.

It is a super-2 number, since 2×11829705145920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389081439 + ... + 389111841.

It is an arithmetic number, because the mean of its divisors is an integer number (121978719720).

Almost surely, 2^{11829705145920} is an apocalyptic number.

11829705145920 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 11829705145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20492424912960).

11829705145920 is an abundant number, since it is smaller than the sum of its proper divisors (29155144680000).

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

11829705145920 is a wasteful number, since it uses less digits than its factorization.

11829705145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31402 (or 31389 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 11829705145920 in words is "eleven trillion, eight hundred twenty-nine billion, seven hundred five million, one hundred forty-five thousand, nine hundred twenty".