165056651061660 has 432 divisors, whose sum is σ = 548116993228896. Its totient is φ = 41688146755584.

The previous prime is 165056651061629. The next prime is 165056651061667. The reversal of 165056651061660 is 66160156650561.

165056651061660 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 6 + 6 + 5 + 10 + 616 + 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 = 165056651061597 and 165056651061606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165056651061667) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9040723252 + ... + 9040741508.

It is an arithmetic number, because the mean of its divisors is an integer number (1268789336178).

Almost surely, 2^{165056651061660} is an apocalyptic number.

165056651061660 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 165056651061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274058496614448).

165056651061660 is an abundant number, since it is smaller than the sum of its proper divisors (383060342167236).

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

165056651061660 is a wasteful number, since it uses less digits than its factorization.

165056651061660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 23439 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 165056651061660 in words is "one hundred sixty-five trillion, fifty-six billion, six hundred fifty-one million, sixty-one thousand, six hundred sixty".