162161638560 has 288 divisors, whose sum is σ = 573763357440. Its totient is φ = 41656817664.

The previous prime is 162161638559. The next prime is 162161638607. The reversal of 162161638560 is 65836161261.

162161638560 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 6 + 1 + 638 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19330687 + ... + 19339073.

It is an arithmetic number, because the mean of its divisors is an integer number (1992233880).

Almost surely, 2^162161638560 is an apocalyptic number.

162161638560 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 162161638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286881678720).

162161638560 is an abundant number, since it is smaller than the sum of its proper divisors (411601718880).

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

162161638560 is a wasteful number, since it uses less digits than its factorization.

162161638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 162161638560 in words is "one hundred sixty-two billion, one hundred sixty-one million, six hundred thirty-eight thousand, five hundred sixty".