83085163261420 has 192 divisors, whose sum is σ = 186493251474432. Its totient is φ = 31038898176000.

The previous prime is 83085163261417. The next prime is 83085163261423. The reversal of 83085163261420 is 2416236158038.

It is an interprime number because it is at equal distance from previous prime (83085163261417) and next prime (83085163261423).

It is not an unprimeable number, because it can be changed into a prime (83085163261423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5900508780 + ... + 5900522860.

It is an arithmetic number, because the mean of its divisors is an integer number (971319018096).

Almost surely, 2^{83085163261420} 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 83085163261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93246625737216).

83085163261420 is an abundant number, since it is smaller than the sum of its proper divisors (103408088213012).

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

83085163261420 is a wasteful number, since it uses less digits than its factorization.

83085163261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652 (or 16650 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 83085163261420 in words is "eighty-three trillion, eighty-five billion, one hundred sixty-three million, two hundred sixty-one thousand, four hundred twenty".