820271490912 has 72 divisors (see below), whose sum is σ = 2386894694184. Its totient is φ = 267065132544.

The previous prime is 820271490847. The next prime is 820271490967. The reversal of 820271490912 is 219094172028.

820271490912 is a `hidden beast` number, since 8 + 2 + 0 + 2 + 71 + 490 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33105813 + ... + 33130580.

It is an arithmetic number, because the mean of its divisors is an integer number (33151315197).

Almost surely, 2^820271490912 is an apocalyptic number.

It is an amenable number.

820271490912 is an abundant number, since it is smaller than the sum of its proper divisors (1566623203272).

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

820271490912 is a wasteful number, since it uses less digits than its factorization.

820271490912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66236452 (or 66236441 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 820271490912 in words is "eight hundred twenty billion, two hundred seventy-one million, four hundred ninety thousand, nine hundred twelve".