83591713190100 has 288 divisors, whose sum is σ = 256955825774592. Its totient is φ = 20950776000000.

The previous prime is 83591713190059. The next prime is 83591713190159. The reversal of 83591713190100 is 109131719538.

It is a self number, because there is not a number n which added to its sum of digits gives 83591713190100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43295350 + ... + 45184850.

It is an arithmetic number, because the mean of its divisors is an integer number (892207728384).

Almost surely, 2^{83591713190100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83591713190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128477912887296).

83591713190100 is an abundant number, since it is smaller than the sum of its proper divisors (173364112584492).

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

83591713190100 is a wasteful number, since it uses less digits than its factorization.

83591713190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889687 (or 1889680 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 83591713190100 in words is "eighty-three trillion, five hundred ninety-one billion, seven hundred thirteen million, one hundred ninety thousand, one hundred".