820330487352 has 192 divisors, whose sum is σ = 2364239155200. Its totient is φ = 256231019520.

The previous prime is 820330487341. The next prime is 820330487363. The reversal of 820330487352 is 253784033028.

It is an interprime number because it is at equal distance from previous prime (820330487341) and next prime (820330487363).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 820330487298 and 820330487307.

It is a congruent number.

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, 58542027 + ... + 58556037.

It is an arithmetic number, because the mean of its divisors is an integer number (12313745600).

Almost surely, 2^820330487352 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 820330487352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182119577600).

820330487352 is an abundant number, since it is smaller than the sum of its proper divisors (1543908667848).

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

820330487352 is a wasteful number, since it uses less digits than its factorization.

820330487352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 820330487352 in words is "eight hundred twenty billion, three hundred thirty million, four hundred eighty-seven thousand, three hundred fifty-two".