165209096607840 has 480 divisors, whose sum is σ = 583833582984960. Its totient is φ = 43996634873856.

The previous prime is 165209096607791. The next prime is 165209096607871. The reversal of 165209096607840 is 48706690902561.

165209096607840 is a `hidden beast` number, since 1 + 6 + 520 + 9 + 0 + 9 + 6 + 60 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×165209096607840² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 45980821084 + ... + 45980824676.

It is an arithmetic number, because the mean of its divisors is an integer number (1216319964552).

Almost surely, 2^{165209096607840} is an apocalyptic number.

165209096607840 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 165209096607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291916791492480).

165209096607840 is an abundant number, since it is smaller than the sum of its proper divisors (418624486377120).

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

165209096607840 is a wasteful number, since it uses less digits than its factorization.

165209096607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 165209096607840 in words is "one hundred sixty-five trillion, two hundred nine billion, ninety-six million, six hundred seven thousand, eight hundred forty".