82005801591168 has 1024 divisors, whose sum is σ = 300678766080000. Its totient is φ = 21425987911680.

The previous prime is 82005801591139. The next prime is 82005801591187. The reversal of 82005801591168 is 86119510850028.

82005801591168 is a `hidden beast` number, since 8 + 2 + 0 + 0 + 580 + 1 + 59 + 1 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×82005801591168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15082910946 + ... + 15082916382.

It is an arithmetic number, because the mean of its divisors is an integer number (293631607500).

Almost surely, 2^{82005801591168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82005801591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150339383040000).

82005801591168 is an abundant number, since it is smaller than the sum of its proper divisors (218672964488832).

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

82005801591168 is a wasteful number, since it uses less digits than its factorization.

82005801591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5920 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 82005801591168 in words is "eighty-two trillion, five billion, eight hundred one million, five hundred ninety-one thousand, one hundred sixty-eight".