8332058384160 has 576 divisors, whose sum is σ = 32450137574400. Its totient is φ = 1786708482048.

The previous prime is 8332058384149. The next prime is 8332058384173. The reversal of 8332058384160 is 614838502338.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45938131 + ... + 46119149.

It is an arithmetic number, because the mean of its divisors is an integer number (56337044400).

Almost surely, 2^{8332058384160} is an apocalyptic number.

8332058384160 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 8332058384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225068787200).

8332058384160 is an abundant number, since it is smaller than the sum of its proper divisors (24118079190240).

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

8332058384160 is a wasteful number, since it uses less digits than its factorization.

8332058384160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181173 (or 181158 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 8332058384160 in words is "eight trillion, three hundred thirty-two billion, fifty-eight million, three hundred eighty-four thousand, one hundred sixty".