165032566026240 has 832 divisors, whose sum is σ = 584807670208512. Its totient is φ = 39403388928000.

The previous prime is 165032566026233. The next prime is 165032566026241. The reversal of 165032566026240 is 42620665230561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165032566026240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165032566026241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13174142857 + ... + 13174155383.

Almost surely, 2^{165032566026240} is an apocalyptic number.

165032566026240 is a gapful number since it is divisible by the number (10) 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 165032566026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292403835104256).

165032566026240 is an abundant number, since it is smaller than the sum of its proper divisors (419775104182272).

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

165032566026240 is a wasteful number, since it uses less digits than its factorization.

165032566026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12864 (or 12842 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 165032566026240 in words is "one hundred sixty-five trillion, thirty-two billion, five hundred sixty-six million, twenty-six thousand, two hundred forty".