162164727000 has 256 divisors, whose sum is σ = 563100595200. Its totient is φ = 43172438400.

The previous prime is 162164726959. The next prime is 162164727173. The reversal of 162164727000 is 727461261.

162164727000 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 647 + 2 + 7 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17464359 + ... + 17473641.

It is an arithmetic number, because the mean of its divisors is an integer number (2199611700).

Almost surely, 2^162164727000 is an apocalyptic number.

162164727000 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 162164727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281550297600).

162164727000 is an abundant number, since it is smaller than the sum of its proper divisors (400935868200).

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

162164727000 is a wasteful number, since it uses less digits than its factorization.

162164727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 162164727000 in words is "one hundred sixty-two billion, one hundred sixty-four million, seven hundred twenty-seven thousand".