11120010582384 has 600 divisors, whose sum is σ = 37557149469840. Its totient is φ = 3163034603520.

The previous prime is 11120010582371. The next prime is 11120010582403. The reversal of 11120010582384 is 48328501002111.

It is a happy number.

11120010582384 is a `hidden beast` number, since 1 + 11 + 20 + 0 + 10 + 582 + 38 + 4 = 666.

It is a super-2 number, since 2×11120010582384² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1037018847 + ... + 1037029569.

Almost surely, 2^{11120010582384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120010582384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778574734920).

11120010582384 is an abundant number, since it is smaller than the sum of its proper divisors (26437138887456).

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

11120010582384 is a wasteful number, since it uses less digits than its factorization.

11120010582384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 11120010582384 its reverse (48328501002111), we get a palindrome (59448511584495).

The spelling of 11120010582384 in words is "eleven trillion, one hundred twenty billion, ten million, five hundred eighty-two thousand, three hundred eighty-four".