11382929712000 has 3840 divisors, whose sum is σ = 54023596885440. Its totient is φ = 2275983360000.

The previous prime is 11382929711987. The next prime is 11382929712043. The reversal of 11382929712000 is 21792928311.

11382929712000 is a `hidden beast` number, since 1 + 138 + 29 + 297 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 155930543964 + ... + 155930544036.

Almost surely, 2^{11382929712000} is an apocalyptic number.

11382929712000 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 11382929712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27011798442720).

11382929712000 is an abundant number, since it is smaller than the sum of its proper divisors (42640667173440).

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

11382929712000 is an equidigital number, since it uses as much as digits as its factorization.

11382929712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11382929712000 in words is "eleven trillion, three hundred eighty-two billion, nine hundred twenty-nine million, seven hundred twelve thousand".