83032180455168 has 576 divisors, whose sum is σ = 287457045872640. Its totient is φ = 23148368179200.

The previous prime is 83032180455163. The next prime is 83032180455239. The reversal of 83032180455168 is 86155408123038.

83032180455168 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 2 + 1 + 80 + 4 + 551 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×83032180455168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83032180455163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752654733 + ... + 752765043.

Almost surely, 2^{83032180455168} 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 83032180455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143728522936320).

83032180455168 is an abundant number, since it is smaller than the sum of its proper divisors (204424865417472).

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

83032180455168 is a wasteful number, since it uses less digits than its factorization.

83032180455168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110721 (or 110701 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 83032180455168 in words is "eighty-three trillion, thirty-two billion, one hundred eighty million, four hundred fifty-five thousand, one hundred sixty-eight".