162083253800 has 96 divisors (see below), whose sum is σ = 413489081880. Its totient is φ = 58716902400.

The previous prime is 162083253757. The next prime is 162083253817. The reversal of 162083253800 is 8352380261.

162083253800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 766957636 + 161316296164 = 27694^2 + 401642^2 .

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 23 ways as a sum of consecutive naturals, for example, 450311 + ... + 725910.

Almost surely, 2^162083253800 is an apocalyptic number.

162083253800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162083253800 is an abundant number, since it is smaller than the sum of its proper divisors (251405828080).

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

162083253800 is a wasteful number, since it uses less digits than its factorization.

162083253800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176303 (or 1176294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 162083253800 in words is "one hundred sixty-two billion, eighty-three million, two hundred fifty-three thousand, eight hundred".