8165319482880 has 1920 divisors, whose sum is σ = 34746776064000. Its totient is φ = 1767926071296.

The previous prime is 8165319482813. The next prime is 8165319482899. The reversal of 8165319482880 is 882849135618.

8165319482880 is a `hidden beast` number, since 8 + 1 + 6 + 531 + 94 + 8 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×8165319482880² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30354347386 + ... + 30354347654.

It is an arithmetic number, because the mean of its divisors is an integer number (18097279200).

Almost surely, 2^{8165319482880} is an apocalyptic number.

8165319482880 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 8165319482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373388032000).

8165319482880 is an abundant number, since it is smaller than the sum of its proper divisors (26581456581120).

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

8165319482880 is a wasteful number, since it uses less digits than its factorization.

8165319482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 8165319482880 in words is "eight trillion, one hundred sixty-five billion, three hundred nineteen million, four hundred eighty-two thousand, eight hundred eighty".