83013659207680 has 192 divisors, whose sum is σ = 200015799984000. Its totient is φ = 33067079368704.

The previous prime is 83013659207663. The next prime is 83013659207693. The reversal of 83013659207680 is 8670295631038.

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 15 ways as a sum of consecutive naturals, for example, 2716666962 + ... + 2716697518.

It is an arithmetic number, because the mean of its divisors is an integer number (1041748958250).

Almost surely, 2^{83013659207680} is an apocalyptic number.

83013659207680 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 83013659207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100007899992000).

83013659207680 is an abundant number, since it is smaller than the sum of its proper divisors (117002140776320).

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

83013659207680 is a wasteful number, since it uses less digits than its factorization.

83013659207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31682 (or 31662 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 83013659207680 in words is "eighty-three trillion, thirteen billion, six hundred fifty-nine million, two hundred seven thousand, six hundred eighty".