820058721163968 has 336 divisors, whose sum is σ = 2568875556208640. Its totient is φ = 229342325667840.

The previous prime is 820058721163933. The next prime is 820058721163973. The reversal of 820058721163968 is 869361127850028.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 820058721163899 and 820058721163908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563878721 + ... + 1564403007.

Almost surely, 2^{820058721163968} is an apocalyptic number.

820058721163968 is a gapful number since it is divisible by the number (88) 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 820058721163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284437778104320).

820058721163968 is an abundant number, since it is smaller than the sum of its proper divisors (1748816835044672).

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

820058721163968 is a wasteful number, since it uses less digits than its factorization.

820058721163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529516 (or 529495 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 820058721163968 in words is "eight hundred twenty trillion, fifty-eight billion, seven hundred twenty-one million, one hundred sixty-three thousand, nine hundred sixty-eight".