83503989768168 has 192 divisors, whose sum is σ = 235341510768000. Its totient is φ = 27738822408192.

The previous prime is 83503989768071. The next prime is 83503989768209. The reversal of 83503989768168 is 86186798930538.

83503989768168 is a `hidden beast` number, since 8 + 3 + 5 + 0 + 398 + 9 + 7 + 68 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802199821 + ... + 802303907.

It is an arithmetic number, because the mean of its divisors is an integer number (1225737035250).

Almost surely, 2^{83503989768168} 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 83503989768168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117670755384000).

83503989768168 is an abundant number, since it is smaller than the sum of its proper divisors (151837520999832).

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

83503989768168 is a wasteful number, since it uses less digits than its factorization.

83503989768168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105526 (or 105510 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 83503989768168 in words is "eighty-three trillion, five hundred three billion, nine hundred eighty-nine million, seven hundred sixty-eight thousand, one hundred sixty-eight".