821061868032000 has 7488 divisors, whose sum is σ = 3889128528230400. Its totient is φ = 168753482956800.

The previous prime is 821061868031987. The next prime is 821061868032047. The reversal of 821061868032000 is 230868160128.

821061868032000 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 618 + 6 + 8 + 0 + 3 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×821061868032000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13916302847971 + ... + 13916302848029.

It is an arithmetic number, because the mean of its divisors is an integer number (519381480800).

Almost surely, 2^{821061868032000} is an apocalyptic number.

821061868032000 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 821061868032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944564264115200).

821061868032000 is an abundant number, since it is smaller than the sum of its proper divisors (3068066660198400).

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

821061868032000 is an equidigital number, since it uses as much as digits as its factorization.

821061868032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 821061868032000 in words is "eight hundred twenty-one trillion, sixty-one billion, eight hundred sixty-eight million, thirty-two thousand".