162850222080 has 1872 divisors, whose sum is σ = 754564093920. Its totient is φ = 32105299968.

The previous prime is 162850222049. The next prime is 162850222201. The reversal of 162850222080 is 80222058261.

162850222080 is a `hidden beast` number, since 1 + 628 + 5 + 0 + 2 + 2 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2230824924 + ... + 2230824996.

It is an arithmetic number, because the mean of its divisors is an integer number (403079110).

Almost surely, 2^162850222080 is an apocalyptic number.

162850222080 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 162850222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377282046960).

162850222080 is an abundant number, since it is smaller than the sum of its proper divisors (591713871840).

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

162850222080 is a wasteful number, since it uses less digits than its factorization.

162850222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 162850222080 in words is "one hundred sixty-two billion, eight hundred fifty million, two hundred twenty-two thousand, eighty".