165641163723360 has 2688 divisors, whose sum is σ = 710046332190720. Its totient is φ = 36055255154688.

The previous prime is 165641163723359. The next prime is 165641163723383. The reversal of 165641163723360 is 63327361146561.

165641163723360 is a `hidden beast` number, since 1 + 6 + 56 + 4 + 1 + 163 + 72 + 3 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 165641163723297 and 165641163723306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 62200961389 + ... + 62200964051.

It is an arithmetic number, because the mean of its divisors is an integer number (264154141440).

Almost surely, 2^{165641163723360} is an apocalyptic number.

165641163723360 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 165641163723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355023166095360).

165641163723360 is an abundant number, since it is smaller than the sum of its proper divisors (544405168467360).

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

165641163723360 is a wasteful number, since it uses less digits than its factorization.

165641163723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 165641163723360 in words is "one hundred sixty-five trillion, six hundred forty-one billion, one hundred sixty-three million, seven hundred twenty-three thousand, three hundred sixty".