8352887380992 has 2640 divisors, whose sum is σ = 33659902209024. Its totient is φ = 2048385024000.

The previous prime is 8352887380907. The next prime is 8352887381053. The reversal of 8352887380992 is 2990837882538.

8352887380992 is a `hidden beast` number, since 8 + 3 + 528 + 8 + 7 + 3 + 8 + 0 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8352887380992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 203728960492 + ... + 203728960532.

Almost surely, 2^{8352887380992} is an apocalyptic number.

8352887380992 is a gapful number since it is divisible by the number (82) 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 8352887380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829951104512).

8352887380992 is an abundant number, since it is smaller than the sum of its proper divisors (25307014828032).

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

8352887380992 is an equidigital number, since it uses as much as digits as its factorization.

8352887380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 8352887380992 in words is "eight trillion, three hundred fifty-two billion, eight hundred eighty-seven million, three hundred eighty thousand, nine hundred ninety-two".