111071283840 has 768 divisors, whose sum is σ = 435627279360. Its totient is φ = 25834291200.

The previous prime is 111071283839. The next prime is 111071283881. The reversal of 111071283840 is 48382170111.

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 = 111071283795 and 111071283804.

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 95 ways as a sum of consecutive naturals, for example, 379082734 + ... + 379083026.

It is an arithmetic number, because the mean of its divisors is an integer number (567223020).

Almost surely, 2^111071283840 is an apocalyptic number.

111071283840 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 111071283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217813639680).

111071283840 is an abundant number, since it is smaller than the sum of its proper divisors (324555995520).

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

111071283840 is a wasteful number, since it uses less digits than its factorization.

111071283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 111071283840 in words is "one hundred eleven billion, seventy-one million, two hundred eighty-three thousand, eight hundred forty".