162753828300 has 324 divisors, whose sum is σ = 600113699640. Its totient is φ = 36782000640.

The previous prime is 162753828257. The next prime is 162753828313. The reversal of 162753828300 is 3828357261.

162753828300 is a `hidden beast` number, since 1 + 62 + 7 + 538 + 28 + 30 + 0 = 666.

162753828300 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 (45).

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 107 ways as a sum of consecutive naturals, for example, 3904167 + ... + 3945633.

Almost surely, 2^162753828300 is an apocalyptic number.

162753828300 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 162753828300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300056849820).

162753828300 is an abundant number, since it is smaller than the sum of its proper divisors (437359871340).

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

162753828300 is a wasteful number, since it uses less digits than its factorization.

162753828300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41590 (or 41573 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 162753828300 in words is "one hundred sixty-two billion, seven hundred fifty-three million, eight hundred twenty-eight thousand, three hundred".