162327726025920 has 2688 divisors, whose sum is σ = 762482058024960. Its totient is φ = 31913241477120.

The previous prime is 162327726025919. The next prime is 162327726025967. The reversal of 162327726025920 is 29520627723261.

162327726025920 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 2 + 7 + 7 + 2 + 602 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×162327726025920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8201259544 + ... + 8201279336.

It is an arithmetic number, because the mean of its divisors is an integer number (283661479920).

Almost surely, 2^{162327726025920} is an apocalyptic number.

162327726025920 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 162327726025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381241029012480).

162327726025920 is an abundant number, since it is smaller than the sum of its proper divisors (600154331999040).

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

162327726025920 is a wasteful number, since it uses less digits than its factorization.

162327726025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19925 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 162327726025920 in words is "one hundred sixty-two trillion, three hundred twenty-seven billion, seven hundred twenty-six million, twenty-five thousand, nine hundred twenty".