162081274880 has 704 divisors, whose sum is σ = 493441632000. Its totient is φ = 50866421760.

The previous prime is 162081274871. The next prime is 162081274909. The reversal of 162081274880 is 88472180261.

162081274880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162081274880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1821137876 + ... + 1821137964.

Almost surely, 2^162081274880 is an apocalyptic number.

162081274880 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 162081274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246720816000).

162081274880 is an abundant number, since it is smaller than the sum of its proper divisors (331360357120).

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

162081274880 is an equidigital number, since it uses as much as digits as its factorization.

162081274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 162081274880 in words is "one hundred sixty-two billion, eighty-one million, two hundred seventy-four thousand, eight hundred eighty".