165209555346000 has 1920 divisors, whose sum is σ = 629502194280960. Its totient is φ = 37115781120000.

The previous prime is 165209555345993. The next prime is 165209555346029. The reversal of 165209555346000 is 643555902561.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 305378105730 + ... + 305378106270.

It is an arithmetic number, because the mean of its divisors is an integer number (327865726188).

Almost surely, 2^{165209555346000} is an apocalyptic number.

165209555346000 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 165209555346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314751097140480).

165209555346000 is an abundant number, since it is smaller than the sum of its proper divisors (464292638934960).

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

165209555346000 is a wasteful number, since it uses less digits than its factorization.

165209555346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 165209555346000 in words is "one hundred sixty-five trillion, two hundred nine billion, five hundred fifty-five million, three hundred forty-six thousand".