821508379351968 has 192 divisors, whose sum is σ = 2743441713331200. Its totient is φ = 213378799737600.

The previous prime is 821508379351871. The next prime is 821508379351999. The reversal of 821508379351968 is 869153973805128.

It is a self number, because there is not a number n which added to its sum of digits gives 821508379351968.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133666278 + ... + 1134390693.

It is an arithmetic number, because the mean of its divisors is an integer number (14288758923600).

Almost surely, 2^{821508379351968} is an apocalyptic number.

821508379351968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821508379351968 is an abundant number, since it is smaller than the sum of its proper divisors (1921933333979232).

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

821508379351968 is a wasteful number, since it uses less digits than its factorization.

821508379351968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268057016 (or 2268056994 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 75.

The spelling of 821508379351968 in words is "eight hundred twenty-one trillion, five hundred eight billion, three hundred seventy-nine million, three hundred fifty-one thousand, nine hundred sixty-eight".