162277256000 has 112 divisors (see below), whose sum is σ = 402080973840. Its totient is φ = 64878387200.

The previous prime is 162277255993. The next prime is 162277256003. The reversal of 162277256000 is 652772261.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48449292544 + 113827963456 = 220112^2 + 337384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162277256003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21828284 + ... + 21835716.

It is an arithmetic number, because the mean of its divisors is an integer number (3590008695).

Almost surely, 2^162277256000 is an apocalyptic number.

162277256000 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 162277256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201040486920).

162277256000 is an abundant number, since it is smaller than the sum of its proper divisors (239803717840).

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

162277256000 is an equidigital number, since it uses as much as digits as its factorization.

162277256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 162277256000 in words is "one hundred sixty-two billion, two hundred seventy-seven million, two hundred fifty-six thousand".