162456220080 has 640 divisors, whose sum is σ = 738698434560. Its totient is φ = 31770869760.

The previous prime is 162456220061. The next prime is 162456220093. The reversal of 162456220080 is 80022654261.

It is a happy number.

162456220080 is a `hidden beast` number, since 1 + 6 + 24 + 5 + 622 + 0 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2798712 + ... + 2856168.

It is an arithmetic number, because the mean of its divisors is an integer number (1154216304).

Almost surely, 2^162456220080 is an apocalyptic number.

162456220080 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 162456220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369349217280).

162456220080 is an abundant number, since it is smaller than the sum of its proper divisors (576242214480).

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

162456220080 is a wasteful number, since it uses less digits than its factorization.

162456220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57514 (or 57502 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 162456220080 in words is "one hundred sixty-two billion, four hundred fifty-six million, two hundred twenty thousand, eighty".