83491483320960 has 2048 divisors, whose sum is σ = 341385311232000. Its totient is φ = 17043306577920.

The previous prime is 83491483320923. The next prime is 83491483320961. The reversal of 83491483320960 is 6902338419438.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 83491483320894 and 83491483320903.

It is not an unprimeable number, because it can be changed into a prime (83491483320961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 97879815894 + ... + 97879816746.

It is an arithmetic number, because the mean of its divisors is an integer number (166692046500).

Almost surely, 2^{83491483320960} is an apocalyptic number.

83491483320960 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 83491483320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170692655616000).

83491483320960 is an abundant number, since it is smaller than the sum of its proper divisors (257893827911040).

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

83491483320960 is a wasteful number, since it uses less digits than its factorization.

83491483320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 83491483320960 in words is "eighty-three trillion, four hundred ninety-one billion, four hundred eighty-three million, three hundred twenty thousand, nine hundred sixty".