112689753280 has 112 divisors (see below), whose sum is σ = 294437312064. Its totient is φ = 40823377920.

The previous prime is 112689753263. The next prime is 112689753287. The reversal of 112689753280 is 82357986211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (112689753287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35076 + ... + 476035.

It is an arithmetic number, because the mean of its divisors is an integer number (2628904572).

Almost surely, 2^112689753280 is an apocalyptic number.

112689753280 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 112689753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218656032).

112689753280 is an abundant number, since it is smaller than the sum of its proper divisors (181747558784).

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

112689753280 is a wasteful number, since it uses less digits than its factorization.

112689753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511194 (or 511184 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 112689753280 in words is "one hundred twelve billion, six hundred eighty-nine million, seven hundred fifty-three thousand, two hundred eighty".