821013422695488 has 336 divisors, whose sum is σ = 2591120932186176. Its totient is φ = 246485499310080.

The previous prime is 821013422695471. The next prime is 821013422695517. The reversal of 821013422695488 is 884596224310128.

821013422695488 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 1 + 3 + 4 + 22 + 69 + 548 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326133570 + ... + 328641342.

Almost surely, 2^{821013422695488} is an apocalyptic number.

821013422695488 is a gapful number since it is divisible by the number (88) 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 821013422695488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295560466093088).

821013422695488 is an abundant number, since it is smaller than the sum of its proper divisors (1770107509490688).

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

821013422695488 is a wasteful number, since it uses less digits than its factorization.

821013422695488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508282 (or 2508269 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 821013422695488 in words is "eight hundred twenty-one trillion, thirteen billion, four hundred twenty-two million, six hundred ninety-five thousand, four hundred eighty-eight".