83005207608810 has 128 divisors (see below), whose sum is σ = 203828546686464. Its totient is φ = 21627457617920.

The previous prime is 83005207608793. The next prime is 83005207609007. The reversal of 83005207608810 is 1880670250038.

It is a super-2 number, since 2×83005207608810² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83005207608810.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3599988802 + ... + 3600011858.

It is an arithmetic number, because the mean of its divisors is an integer number (1592410520988).

Almost surely, 2^{83005207608810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83005207608810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101914273343232).

83005207608810 is an abundant number, since it is smaller than the sum of its proper divisors (120823339077654).

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

83005207608810 is a wasteful number, since it uses less digits than its factorization.

83005207608810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38208.

The product of its (nonzero) digits is 645120, while the sum is 48.

Adding to 83005207608810 its reverse (1880670250038), we get a palindrome (84885877858848).

The spelling of 83005207608810 in words is "eighty-three trillion, five billion, two hundred seven million, six hundred eight thousand, eight hundred ten".