820058049660 has 96 divisors (see below), whose sum is σ = 2314506664512. Its totient is φ = 216937277440.

The previous prime is 820058049647. The next prime is 820058049667. The reversal of 820058049660 is 66940850028.

It is a happy number.

It is a super-2 number, since 2×820058049660² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820058049667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12239050 + ... + 12305870.

It is an arithmetic number, because the mean of its divisors is an integer number (24109444422).

Almost surely, 2^820058049660 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 820058049660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157253332256).

820058049660 is an abundant number, since it is smaller than the sum of its proper divisors (1494448614852).

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

820058049660 is a wasteful number, since it uses less digits than its factorization.

820058049660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68463 (or 68461 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

Adding to 820058049660 its reverse (66940850028), we get a palindrome (886998899688).

The spelling of 820058049660 in words is "eight hundred twenty billion, fifty-eight million, forty-nine thousand, six hundred sixty".