83220980727360 has 224 divisors, whose sum is σ = 302064832772352. Its totient is φ = 19016170905600.

The previous prime is 83220980727359. The next prime is 83220980727377. The reversal of 83220980727360 is 6372708902238.

83220980727360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 83220980727360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20306914 + ... + 24058526.

Almost surely, 2^{83220980727360} is an apocalyptic number.

83220980727360 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 83220980727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151032416386176).

83220980727360 is an abundant number, since it is smaller than the sum of its proper divisors (218843852044992).

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

83220980727360 is a wasteful number, since it uses less digits than its factorization.

83220980727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754941 (or 3754931 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 83220980727360 in words is "eighty-three trillion, two hundred twenty billion, nine hundred eighty million, seven hundred twenty-seven thousand, three hundred sixty".