87834560112 has 160 divisors (see below), whose sum is σ = 273495620160. Its totient is φ = 26828513280.

The previous prime is 87834560111. The next prime is 87834560123. The reversal of 87834560112 is 21106543878.

87834560112 is a `hidden beast` number, since 8 + 7 + 8 + 34 + 5 + 601 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87834560111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712312 + ... + 826472.

It is an arithmetic number, because the mean of its divisors is an integer number (1709347626).

Almost surely, 2^87834560112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87834560112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136747810080).

87834560112 is an abundant number, since it is smaller than the sum of its proper divisors (185661060048).

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

87834560112 is a wasteful number, since it uses less digits than its factorization.

87834560112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114328 (or 114316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87834560112 in words is "eighty-seven billion, eight hundred thirty-four million, five hundred sixty thousand, one hundred twelve".