112263550560 has 672 divisors, whose sum is σ = 456915271680. Its totient is φ = 25521951744.

The previous prime is 112263550543. The next prime is 112263550571. The reversal of 112263550560 is 65055362211.

112263550560 is a `hidden beast` number, since 1 + 12 + 2 + 6 + 35 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 293116129 + ... + 293116511.

It is an arithmetic number, because the mean of its divisors is an integer number (679933440).

Almost surely, 2^112263550560 is an apocalyptic number.

112263550560 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 112263550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228457635840).

112263550560 is an abundant number, since it is smaller than the sum of its proper divisors (344651721120).

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

112263550560 is an equidigital number, since it uses as much as digits as its factorization.

112263550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 112263550560 in words is "one hundred twelve billion, two hundred sixty-three million, five hundred fifty thousand, five hundred sixty".