820856846883600 has 360 divisors, whose sum is σ = 2874945948680520. Its totient is φ = 216871049134080.

The previous prime is 820856846883559. The next prime is 820856846883631. The reversal of 820856846883600 is 6388648658028.

820856846883600 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 5 + 6 + 8 + 4 + 6 + 8 + 8 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 226143368868096 + 594713478015504 = 15038064^2 + 24386748^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 71 ways as a sum of consecutive naturals, for example, 5939689702 + ... + 5939827898.

It is an arithmetic number, because the mean of its divisors is an integer number (7985960968557).

Almost surely, 2^{820856846883600} is an apocalyptic number.

820856846883600 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 820856846883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437472974340260).

820856846883600 is an abundant number, since it is smaller than the sum of its proper divisors (2054089101796920).

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

820856846883600 is a wasteful number, since it uses less digits than its factorization.

820856846883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153467 (or 153453 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 820856846883600 in words is "eight hundred twenty trillion, eight hundred fifty-six billion, eight hundred forty-six million, eight hundred eighty-three thousand, six hundred".