111858420960 has 1728 divisors, whose sum is σ = 491896903680. Its totient is φ = 23813222400.

The previous prime is 111858420959. The next prime is 111858420967. The reversal of 111858420960 is 69024858111.

It is a happy number.

111858420960 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 584 + 2 + 0 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111858420967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1895905411 + ... + 1895905469.

It is an arithmetic number, because the mean of its divisors is an integer number (284662560).

Almost surely, 2^111858420960 is an apocalyptic number.

111858420960 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 111858420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245948451840).

111858420960 is an abundant number, since it is smaller than the sum of its proper divisors (380038482720).

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

111858420960 is a wasteful number, since it uses less digits than its factorization.

111858420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 111858420960 in words is "one hundred eleven billion, eight hundred fifty-eight million, four hundred twenty thousand, nine hundred sixty".