11838928086000 has 800 divisors, whose sum is σ = 44765613674496. Its totient is φ = 3012085440000.

The previous prime is 11838928085983. The next prime is 11838928086053. The reversal of 11838928086000 is 68082983811.

11838928086000 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 8 + 9 + 28 + 0 + 8 + 600 + 0 = 666.

11838928086000 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 356545399 + ... + 356578601.

Almost surely, 2^{11838928086000} is an apocalyptic number.

11838928086000 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 11838928086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382806837248).

11838928086000 is an abundant number, since it is smaller than the sum of its proper divisors (32926685588496).

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

11838928086000 is a wasteful number, since it uses less digits than its factorization.

11838928086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33340 (or 33315 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 11838928086000 in words is "eleven trillion, eight hundred thirty-eight billion, nine hundred twenty-eight million, eighty-six thousand".