165252262855680 has 10560 divisors, whose sum is σ = 884605441547520. Its totient is φ = 28894769971200.

The previous prime is 165252262855619. The next prime is 165252262855741. The reversal of 165252262855680 is 86558262252561.

165252262855680 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 5 + 2 + 2 + 62 + 8 + 5 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (165252262855619) and next prime (165252262855741).

It is a tau number, because it is divible by the number of its divisors (10560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2263729628124 + ... + 2263729628196.

It is an arithmetic number, because the mean of its divisors is an integer number (83769454692).

Almost surely, 2^{165252262855680} is an apocalyptic number.

165252262855680 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 165252262855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442302720773760).

165252262855680 is an abundant number, since it is smaller than the sum of its proper divisors (719353178691840).

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

165252262855680 is a wasteful number, since it uses less digits than its factorization.

165252262855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 138240000, while the sum is 63.

The spelling of 165252262855680 in words is "one hundred sixty-five trillion, two hundred fifty-two billion, two hundred sixty-two million, eight hundred fifty-five thousand, six hundred eighty".