165827568225264 has 160 divisors (see below), whose sum is σ = 469750327554816. Its totient is φ = 49990818447360.

The previous prime is 165827568225247. The next prime is 165827568225313. The reversal of 165827568225264 is 462522865728561.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146912144 + ... + 1147056720.

Almost surely, 2^{165827568225264} 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 165827568225264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234875163777408).

165827568225264 is an abundant number, since it is smaller than the sum of its proper divisors (303922759329552).

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

165827568225264 is a wasteful number, since it uses less digits than its factorization.

165827568225264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155823 (or 155817 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 69.

The spelling of 165827568225264 in words is "one hundred sixty-five trillion, eight hundred twenty-seven billion, five hundred sixty-eight million, two hundred twenty-five thousand, two hundred sixty-four".