162066570120 has 1024 divisors, whose sum is σ = 704793600000. Its totient is φ = 32168005632.

The previous prime is 162066570119. The next prime is 162066570161. The reversal of 162066570120 is 21075660261.

It is a happy number.

162066570120 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 66 + 570 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 427616091 + ... + 427616469.

It is an arithmetic number, because the mean of its divisors is an integer number (688275000).

Almost surely, 2^162066570120 is an apocalyptic number.

162066570120 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 162066570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352396800000).

162066570120 is an abundant number, since it is smaller than the sum of its proper divisors (542727029880).

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

162066570120 is a wasteful number, since it uses less digits than its factorization.

162066570120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 162066570120 in words is "one hundred sixty-two billion, sixty-six million, five hundred seventy thousand, one hundred twenty".