83111006880 has 384 divisors, whose sum is σ = 334038297600. Its totient is φ = 19087488000.

The previous prime is 83111006827. The next prime is 83111006887. The reversal of 83111006880 is 8860011138.

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

It is not an unprimeable number, because it can be changed into a prime (83111006887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 856855 + ... + 948905.

It is an arithmetic number, because the mean of its divisors is an integer number (869891400).

Almost surely, 2^83111006880 is an apocalyptic number.

83111006880 is a gapful number since it is divisible by the number (80) 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 83111006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167019148800).

83111006880 is an abundant number, since it is smaller than the sum of its proper divisors (250927290720).

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

83111006880 is a wasteful number, since it uses less digits than its factorization.

83111006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92105 (or 92091 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 83111006880 in words is "eighty-three billion, one hundred eleven million, six thousand, eight hundred eighty".