820693120000 has 220 divisors, whose sum is σ = 2207795182516. Its totient is φ = 303022080000.

The previous prime is 820693119971. The next prime is 820693120001. The reversal of 820693120000 is 21396028.

It can be written as a sum of positive squares in 10 ways, for example, as 719864008704 + 100829111296 = 848448^2 + 317536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820693120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8270680 + ... + 8369320.

Almost surely, 2^820693120000 is an apocalyptic number.

820693120000 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 820693120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103897591258).

820693120000 is an abundant number, since it is smaller than the sum of its proper divisors (1387102062516).

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

820693120000 is an equidigital number, since it uses as much as digits as its factorization.

820693120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98694 (or 98661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 820693120000 in words is "eight hundred twenty billion, six hundred ninety-three million, one hundred twenty thousand".