165607920092160 has 3520 divisors, whose sum is σ = 777088200430080. Its totient is φ = 32747405967360.

The previous prime is 165607920092149. The next prime is 165607920092203. The reversal of 165607920092160 is 61290029706561.

165607920092160 is a `hidden beast` number, since 1 + 6 + 5 + 607 + 9 + 2 + 0 + 0 + 9 + 21 + 6 + 0 = 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 = 165607920092097 and 165607920092106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 69553934170 + ... + 69553936550.

It is an arithmetic number, because the mean of its divisors is an integer number (220763693304).

Almost surely, 2^{165607920092160} is an apocalyptic number.

165607920092160 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 165607920092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388544100215040).

165607920092160 is an abundant number, since it is smaller than the sum of its proper divisors (611480280337920).

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

165607920092160 is a wasteful number, since it uses less digits than its factorization.

165607920092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 165607920092160 in words is "one hundred sixty-five trillion, six hundred seven billion, nine hundred twenty million, ninety-two thousand, one hundred sixty".