112711927680 has 1280 divisors, whose sum is σ = 471326169600. Its totient is φ = 25380864000.

The previous prime is 112711927663. The next prime is 112711927721. The reversal of 112711927680 is 86729117211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1094290509 + ... + 1094290611.

It is an arithmetic number, because the mean of its divisors is an integer number (368223570).

Almost surely, 2^112711927680 is an apocalyptic number.

112711927680 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 112711927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235663084800).

112711927680 is an abundant number, since it is smaller than the sum of its proper divisors (358614241920).

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

112711927680 is a wasteful number, since it uses less digits than its factorization.

112711927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 112711927680 in words is "one hundred twelve billion, seven hundred eleven million, nine hundred twenty-seven thousand, six hundred eighty".