83170882080 has 1536 divisors, whose sum is σ = 364807618560. Its totient is φ = 17418240000.

The previous prime is 83170882051. The next prime is 83170882087. The reversal of 83170882080 is 8028807138.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (83170882087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 823474030 + ... + 823474130.

It is an arithmetic number, because the mean of its divisors is an integer number (237504960).

Almost surely, 2^83170882080 is an apocalyptic number.

83170882080 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 83170882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182403809280).

83170882080 is an abundant number, since it is smaller than the sum of its proper divisors (281636736480).

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

83170882080 is a wasteful number, since it uses less digits than its factorization.

83170882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 83170882080 in words is "eighty-three billion, one hundred seventy million, eight hundred eighty-two thousand, eighty".