162042275520 has 672 divisors, whose sum is σ = 628731125568. Its totient is φ = 39558316032.

The previous prime is 162042275513. The next prime is 162042275533. The reversal of 162042275520 is 25572240261.

162042275520 is a `hidden beast` number, since 1 + 6 + 20 + 42 + 2 + 75 + 520 = 666.

162042275520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48909384 + ... + 48912696.

It is an arithmetic number, because the mean of its divisors is an integer number (935611794).

Almost surely, 2^162042275520 is an apocalyptic number.

162042275520 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 162042275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314365562784).

162042275520 is an abundant number, since it is smaller than the sum of its proper divisors (466688850048).

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

162042275520 is a wasteful number, since it uses less digits than its factorization.

162042275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 162042275520 in words is "one hundred sixty-two billion, forty-two million, two hundred seventy-five thousand, five hundred twenty".