165339433980 has 240 divisors, whose sum is σ = 594376896960. Its totient is φ = 37689587712.

The previous prime is 165339433807. The next prime is 165339433981. The reversal of 165339433980 is 89334933561.

165339433980 is a `hidden beast` number, since 16 + 533 + 9 + 4 + 3 + 3 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165339433981) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4210276 + ... + 4249364.

It is an arithmetic number, because the mean of its divisors is an integer number (2476570404).

Almost surely, 2^165339433980 is an apocalyptic number.

165339433980 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 165339433980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297188448480).

165339433980 is an abundant number, since it is smaller than the sum of its proper divisors (429037462980).

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

165339433980 is a wasteful number, since it uses less digits than its factorization.

165339433980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39490 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 165339433980 in words is "one hundred sixty-five billion, three hundred thirty-nine million, four hundred thirty-three thousand, nine hundred eighty".