8165255616000 has 960 divisors, whose sum is σ = 34431588487296. Its totient is φ = 1820786688000.

The previous prime is 8165255615897. The next prime is 8165255616017. The reversal of 8165255616000 is 6165525618.

8165255616000 is a `hidden beast` number, since 8 + 1 + 6 + 5 + 25 + 5 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 165287304 + ... + 165336696.

Almost surely, 2^{8165255616000} is an apocalyptic number.

8165255616000 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 8165255616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17215794243648).

8165255616000 is an abundant number, since it is smaller than the sum of its proper divisors (26266332871296).

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

8165255616000 is a wasteful number, since it uses less digits than its factorization.

8165255616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49480 (or 49451 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 8165255616000 in words is "eight trillion, one hundred sixty-five billion, two hundred fifty-five million, six hundred sixteen thousand".