112726126640 has 80 divisors (see below), whose sum is σ = 264014340096. Its totient is φ = 44759520000.

The previous prime is 112726126637. The next prime is 112726126651. The reversal of 112726126640 is 46621627211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 112726126594 and 112726126603.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23565689 + ... + 23570471.

Almost surely, 2^112726126640 is an apocalyptic number.

112726126640 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 112726126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132007170048).

112726126640 is an abundant number, since it is smaller than the sum of its proper divisors (151288213456).

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

112726126640 is a wasteful number, since it uses less digits than its factorization.

112726126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 112726126640 in words is "one hundred twelve billion, seven hundred twenty-six million, one hundred twenty-six thousand, six hundred forty".