162166736160 has 432 divisors, whose sum is σ = 655075649592. Its totient is φ = 36288552960.

The previous prime is 162166736153. The next prime is 162166736189. The reversal of 162166736160 is 61637661261.

162166736160 is a `hidden beast` number, since 1 + 6 + 21 + 6 + 6 + 7 + 3 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95162378256 + 67004357904 = 308484^2 + 258852^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 2229324 + ... + 2300916.

Almost surely, 2^162166736160 is an apocalyptic number.

162166736160 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 162166736160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327537824796).

162166736160 is an abundant number, since it is smaller than the sum of its proper divisors (492908913432).

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

162166736160 is a wasteful number, since it uses less digits than its factorization.

162166736160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71649 (or 71627 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 162166736160 in words is "one hundred sixty-two billion, one hundred sixty-six million, seven hundred thirty-six thousand, one hundred sixty".