821938700056320 has 6912 divisors, whose sum is σ = 4002207057838080. Its totient is φ = 156438090547200.

The previous prime is 821938700056169. The next prime is 821938700056321. The reversal of 821938700056320 is 23650007839128.

821938700056320 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 3 + 8 + 70 + 0 + 0 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821938700056321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2168703693891 + ... + 2168703694269.

It is an arithmetic number, because the mean of its divisors is an integer number (579023011840).

Almost surely, 2^{821938700056320} is an apocalyptic number.

821938700056320 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 821938700056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001103528919040).

821938700056320 is an abundant number, since it is smaller than the sum of its proper divisors (3180268357781760).

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

821938700056320 is a wasteful number, since it uses less digits than its factorization.

821938700056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 821938700056320 in words is "eight hundred twenty-one trillion, nine hundred thirty-eight billion, seven hundred million, fifty-six thousand, three hundred twenty".