820480828110 has 16 divisors (see below), whose sum is σ = 1969153987536. Its totient is φ = 218794887488.

The previous prime is 820480828051. The next prime is 820480828133. The reversal of 820480828110 is 11828084028.

It is a super-3 number, since 3×820480828110³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13674680439 + ... + 13674680498.

It is an arithmetic number, because the mean of its divisors is an integer number (123072124221).

Almost surely, 2^820480828110 is an apocalyptic number.

820480828110 is an abundant number, since it is smaller than the sum of its proper divisors (1148673159426).

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

820480828110 is a wasteful number, since it uses less digits than its factorization.

820480828110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27349360947.

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 820480828110 in words is "eight hundred twenty billion, four hundred eighty million, eight hundred twenty-eight thousand, one hundred ten".