162083025120 has 96 divisors (see below), whose sum is σ = 510617284128. Its totient is φ = 43217420288.

The previous prime is 162083025119. The next prime is 162083025227. The reversal of 162083025120 is 21520380261.

162083025120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 8119792 + ... + 8139728.

It is an arithmetic number, because the mean of its divisors is an integer number (5318930043).

Almost surely, 2^162083025120 is an apocalyptic number.

162083025120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162083025120 is an abundant number, since it is smaller than the sum of its proper divisors (348534259008).

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

162083025120 is a wasteful number, since it uses less digits than its factorization.

162083025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36892 (or 36884 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 162083025120 in words is "one hundred sixty-two billion, eighty-three million, twenty-five thousand, one hundred twenty".