820318980096 has 576 divisors, whose sum is σ = 3063392317440. Its totient is φ = 213059911680.

The previous prime is 820318980083. The next prime is 820318980167. The reversal of 820318980096 is 690089813028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38309425 + ... + 38330831.

It is an arithmetic number, because the mean of its divisors is an integer number (5318389440).

Almost surely, 2^820318980096 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 820318980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531696158720).

820318980096 is an abundant number, since it is smaller than the sum of its proper divisors (2243073337344).

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

820318980096 is a wasteful number, since it uses less digits than its factorization.

820318980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21462 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 820318980096 in words is "eight hundred twenty billion, three hundred eighteen million, nine hundred eighty thousand, ninety-six".