162726983200 has 144 divisors (see below), whose sum is σ = 402152151240. Its totient is φ = 64293765120.

The previous prime is 162726983183. The next prime is 162726983329. The reversal of 162726983200 is 2389627261.

It can be written as a sum of positive squares in 12 ways, for example, as 23027455504 + 139699527696 = 151748^2 + 373764^2 .

It is a super-2 number, since 2×162726983200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21725056 + ... + 21732544.

Almost surely, 2^162726983200 is an apocalyptic number.

162726983200 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 162726983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201076075620).

162726983200 is an abundant number, since it is smaller than the sum of its proper divisors (239425168040).

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

162726983200 is a wasteful number, since it uses less digits than its factorization.

162726983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7826 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 162726983200 in words is "one hundred sixty-two billion, seven hundred twenty-six million, nine hundred eighty-three thousand, two hundred".