165361205600 has 36 divisors (see below), whose sum is σ = 403688045124. Its totient is φ = 66144481920.

The previous prime is 165361205539. The next prime is 165361205623. The reversal of 165361205600 is 6502163561.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103349954 + ... + 103351553.

It is an arithmetic number, because the mean of its divisors is an integer number (11213556809).

Almost surely, 2^165361205600 is an apocalyptic number.

165361205600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165361205600 is an abundant number, since it is smaller than the sum of its proper divisors (238326839524).

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

165361205600 is a wasteful number, since it uses less digits than its factorization.

165361205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206701527 (or 206701514 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 165361205600 in words is "one hundred sixty-five billion, three hundred sixty-one million, two hundred five thousand, six hundred".