164506755200 has 96 divisors (see below), whose sum is σ = 406497234000. Its totient is φ = 65784222720.

The previous prime is 164506755197. The next prime is 164506755223. The reversal of 164506755200 is 2557605461.

164506755200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20408771 + ... + 20416829.

Almost surely, 2^164506755200 is an apocalyptic number.

164506755200 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 164506755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203248617000).

164506755200 is an abundant number, since it is smaller than the sum of its proper divisors (241990478800).

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

164506755200 is an equidigital number, since it uses as much as digits as its factorization.

164506755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14462 (or 14445 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 164506755200 in words is "one hundred sixty-four billion, five hundred six million, seven hundred fifty-five thousand, two hundred".