83793480016896 has 3168 divisors, whose sum is σ = 314161376256000. Its totient is φ = 22135457710080.

The previous prime is 83793480016783. The next prime is 83793480016901. The reversal of 83793480016896 is 69861008439738.

83793480016896 is a `hidden beast` number, since 8 + 37 + 9 + 348 + 0 + 0 + 168 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 421072763805 + ... + 421072764003.

Almost surely, 2^{83793480016896} 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 83793480016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157080688128000).

83793480016896 is an abundant number, since it is smaller than the sum of its proper divisors (230367896239104).

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

83793480016896 is a wasteful number, since it uses less digits than its factorization.

83793480016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 83793480016896 in words is "eighty-three trillion, seven hundred ninety-three billion, four hundred eighty million, sixteen thousand, eight hundred ninety-six".