112705858080 has 192 divisors, whose sum is σ = 394633451520. Its totient is φ = 30042482688.

The previous prime is 112705858043. The next prime is 112705858127. The reversal of 112705858080 is 80858507211.

112705858080 is a `hidden beast` number, since 1 + 12 + 7 + 0 + 58 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×112705858080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15863809 + ... + 15870911.

It is an arithmetic number, because the mean of its divisors is an integer number (2055382560).

Almost surely, 2^112705858080 is an apocalyptic number.

112705858080 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 112705858080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197316725760).

112705858080 is an abundant number, since it is smaller than the sum of its proper divisors (281927593440).

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

112705858080 is a wasteful number, since it uses less digits than its factorization.

112705858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 112705858080 in words is "one hundred twelve billion, seven hundred five million, eight hundred fifty-eight thousand, eighty".