8128329995520 has 864 divisors, whose sum is σ = 34498013501952. Its totient is φ = 1724640657408.

The previous prime is 8128329995411. The next prime is 8128329995543. The reversal of 8128329995520 is 255999238218.

8128329995520 is a `hidden beast` number, since 8 + 1 + 2 + 83 + 29 + 9 + 9 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100033629 + ... + 100114851.

It is an arithmetic number, because the mean of its divisors is an integer number (39928256368).

Almost surely, 2^{8128329995520} is an apocalyptic number.

8128329995520 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 8128329995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249006750976).

8128329995520 is an abundant number, since it is smaller than the sum of its proper divisors (26369683506432).

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

8128329995520 is a wasteful number, since it uses less digits than its factorization.

8128329995520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81347 (or 81330 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 8128329995520 in words is "eight trillion, one hundred twenty-eight billion, three hundred twenty-nine million, nine hundred ninety-five thousand, five hundred twenty".