165343659127920 has 3200 divisors, whose sum is σ = 761554297405440. Its totient is φ = 32259137863680.

The previous prime is 165343659127877. The next prime is 165343659128029. The reversal of 165343659127920 is 29721956343561.

165343659127920 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 4 + 36 + 591 + 2 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×165343659127920² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 222535207069 + ... + 222535207811.

Almost surely, 2^{165343659127920} is an apocalyptic number.

165343659127920 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 165343659127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380777148702720).

165343659127920 is an abundant number, since it is smaller than the sum of its proper divisors (596210638277520).

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

165343659127920 is a wasteful number, since it uses less digits than its factorization.

165343659127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 165343659127920 in words is "one hundred sixty-five trillion, three hundred forty-three billion, six hundred fifty-nine million, one hundred twenty-seven thousand, nine hundred twenty".