821680796160 has 2400 divisors, whose sum is σ = 3730791892608. Its totient is φ = 171674173440.

The previous prime is 821680796147. The next prime is 821680796203. The reversal of 821680796160 is 61697086128.

821680796160 is a `hidden beast` number, since 8 + 2 + 16 + 8 + 0 + 7 + 9 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 821680796097 and 821680796106.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11572968925 + ... + 11572968995.

Almost surely, 2^821680796160 is an apocalyptic number.

821680796160 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 821680796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865395946304).

821680796160 is an abundant number, since it is smaller than the sum of its proper divisors (2909111096448).

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

821680796160 is a wasteful number, since it uses less digits than its factorization.

821680796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 821680796160 in words is "eight hundred twenty-one billion, six hundred eighty million, seven hundred ninety-six thousand, one hundred sixty".