112726577760 has 288 divisors, whose sum is σ = 366306403680. Its totient is φ = 29138264064.

The previous prime is 112726577723. The next prime is 112726577767. The reversal of 112726577760 is 67775627211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112726577767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139340236 + ... + 139341044.

It is an arithmetic number, because the mean of its divisors is an integer number (1271897235).

Almost surely, 2^112726577760 is an apocalyptic number.

112726577760 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 112726577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183153201840).

112726577760 is an abundant number, since it is smaller than the sum of its proper divisors (253579825920).

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

112726577760 is a wasteful number, since it uses less digits than its factorization.

112726577760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 51.

The spelling of 112726577760 in words is "one hundred twelve billion, seven hundred twenty-six million, five hundred seventy-seven thousand, seven hundred sixty".