165018995820 has 384 divisors, whose sum is σ = 605068369920. Its totient is φ = 36548444160.

The previous prime is 165018995809. The next prime is 165018995849. The reversal of 165018995820 is 28599810561.

165018995820 is a `hidden beast` number, since 1 + 6 + 50 + 1 + 8 + 9 + 9 + 582 + 0 = 666.

165018995820 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35941725 + ... + 35946315.

It is an arithmetic number, because the mean of its divisors is an integer number (1575698880).

Almost surely, 2^165018995820 is an apocalyptic number.

165018995820 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 165018995820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302534184960).

165018995820 is an abundant number, since it is smaller than the sum of its proper divisors (440049374100).

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

165018995820 is a wasteful number, since it uses less digits than its factorization.

165018995820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 165018995820 in words is "one hundred sixty-five billion, eighteen million, nine hundred ninety-five thousand, eight hundred twenty".