111271800640 has 896 divisors, whose sum is σ = 383433523200. Its totient is φ = 29607690240.

The previous prime is 111271800617. The next prime is 111271800667. The reversal of 111271800640 is 46008172111.

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 127 ways as a sum of consecutive naturals, for example, 286045566 + ... + 286045954.

It is an arithmetic number, because the mean of its divisors is an integer number (427939200).

Almost surely, 2^111271800640 is an apocalyptic number.

111271800640 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 111271800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191716761600).

111271800640 is an abundant number, since it is smaller than the sum of its proper divisors (272161722560).

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

111271800640 is a wasteful number, since it uses less digits than its factorization.

111271800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 111271800640 its reverse (46008172111), we get a palindrome (157279972751).

The spelling of 111271800640 in words is "one hundred eleven billion, two hundred seventy-one million, eight hundred thousand, six hundred forty".