111765381120 has 784 divisors, whose sum is σ = 425461267440. Its totient is φ = 28092137472.

The previous prime is 111765381109. The next prime is 111765381239. The reversal of 111765381120 is 21183567111.

It is a happy number.

111765381120 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 6 + 538 + 112 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 567336862 + ... + 567337058.

Almost surely, 2^111765381120 is an apocalyptic number.

111765381120 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 111765381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212730633720).

111765381120 is an abundant number, since it is smaller than the sum of its proper divisors (313695886320).

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

111765381120 is an frugal number, since it uses more digits than its factorization.

111765381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 111765381120 in words is "one hundred eleven billion, seven hundred sixty-five million, three hundred eighty-one thousand, one hundred twenty".