83173417680 has 80 divisors (see below), whose sum is σ = 257934651840. Its totient is φ = 22171229184.

The previous prime is 83173417633. The next prime is 83173417741. The reversal of 83173417680 is 8671437138.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 587251 + ... + 714989.

It is an arithmetic number, because the mean of its divisors is an integer number (3224183148).

Almost surely, 2^83173417680 is an apocalyptic number.

83173417680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83173417680 is an abundant number, since it is smaller than the sum of its proper divisors (174761234160).

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

83173417680 is a wasteful number, since it uses less digits than its factorization.

83173417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130468 (or 130462 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 83173417680 in words is "eighty-three billion, one hundred seventy-three million, four hundred seventeen thousand, six hundred eighty".