165505126541568 has 576 divisors, whose sum is σ = 506761258106880. Its totient is φ = 47496108441600.

The previous prime is 165505126541539. The next prime is 165505126541581. The reversal of 165505126541568 is 865145621505561.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2337838780 + ... + 2337909572.

It is an arithmetic number, because the mean of its divisors is an integer number (879793850880).

Almost surely, 2^{165505126541568} 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 165505126541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380629053440).

165505126541568 is an abundant number, since it is smaller than the sum of its proper divisors (341256131565312).

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

165505126541568 is a wasteful number, since it uses less digits than its factorization.

165505126541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71046 (or 71032 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 60.

The spelling of 165505126541568 in words is "one hundred sixty-five trillion, five hundred five billion, one hundred twenty-six million, five hundred forty-one thousand, five hundred sixty-eight".