112086095040 has 1344 divisors, whose sum is σ = 455327308800. Its totient is φ = 25138003968.

The previous prime is 112086095027. The next prime is 112086095081. The reversal of 112086095040 is 40590680211.

112086095040 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 609 + 5 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112086094986 and 112086095004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1350434839 + ... + 1350434921.

It is an arithmetic number, because the mean of its divisors is an integer number (338785200).

Almost surely, 2^112086095040 is an apocalyptic number.

112086095040 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 112086095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227663654400).

112086095040 is an abundant number, since it is smaller than the sum of its proper divisors (343241213760).

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

112086095040 is a wasteful number, since it uses less digits than its factorization.

112086095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 112086095040 in words is "one hundred twelve billion, eighty-six million, ninety-five thousand, forty".