111566741760 has 216 divisors, whose sum is σ = 391448925504. Its totient is φ = 29331886080.

The previous prime is 111566741711. The next prime is 111566741777. The reversal of 111566741760 is 67147665111.

111566741760 is a `hidden beast` number, since 1 + 1 + 1 + 566 + 74 + 17 + 6 + 0 = 666.

111566741760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 749719 + ... + 886121.

It is an arithmetic number, because the mean of its divisors is an integer number (1812263544).

Almost surely, 2^111566741760 is an apocalyptic number.

111566741760 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 111566741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195724462752).

111566741760 is an abundant number, since it is smaller than the sum of its proper divisors (279882183744).

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

111566741760 is a wasteful number, since it uses less digits than its factorization.

111566741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136501 (or 136484 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 111566741760 in words is "one hundred eleven billion, five hundred sixty-six million, seven hundred forty-one thousand, seven hundred sixty".