11828381685120 has 7168 divisors, whose sum is σ = 63291226521600. Its totient is φ = 2031663513600.

The previous prime is 11828381685091. The next prime is 11828381685161. The reversal of 11828381685120 is 2158618382811.

It is a happy number.

11828381685120 is a `hidden beast` number, since 1 + 1 + 82 + 8 + 38 + 16 + 8 + 512 + 0 = 666.

It is a super-2 number, since 2×11828381685120² (a number of 27 digits) contains 22 as substring.

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 895 ways as a sum of consecutive naturals, for example, 275078643819 + ... + 275078643861.

It is an arithmetic number, because the mean of its divisors is an integer number (8829691200).

Almost surely, 2^{11828381685120} is an apocalyptic number.

11828381685120 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 11828381685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31645613260800).

11828381685120 is an abundant number, since it is smaller than the sum of its proper divisors (51462844836480).

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

11828381685120 is a wasteful number, since it uses less digits than its factorization.

11828381685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 11828381685120 in words is "eleven trillion, eight hundred twenty-eight billion, three hundred eighty-one million, six hundred eighty-five thousand, one hundred twenty".