820810032000 has 1536 divisors, whose sum is σ = 3363944463360. Its totient is φ = 173352960000.

The previous prime is 820810031971. The next prime is 820810032013. The reversal of 820810032000 is 230018028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8126831950 + ... + 8126832050.

It is an arithmetic number, because the mean of its divisors is an integer number (2190068010).

Almost surely, 2^820810032000 is an apocalyptic number.

820810032000 is a gapful number since it is divisible by the number (80) 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 820810032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681972231680).

820810032000 is an abundant number, since it is smaller than the sum of its proper divisors (2543134431360).

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

820810032000 is a wasteful number, since it uses less digits than its factorization.

820810032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 820810032000 in words is "eight hundred twenty billion, eight hundred ten million, thirty-two thousand".