164000028800 has 96 divisors (see below), whose sum is σ = 405378802980. Its totient is φ = 65559941120.

The previous prime is 164000028793. The next prime is 164000028811. The reversal of 164000028800 is 8820000461.

It can be written as a sum of positive squares in 6 ways, for example, as 25931305024 + 138068723776 = 161032^2 + 371576^2 .

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, 5530814 + ... + 5560386.

Almost surely, 2^164000028800 is an apocalyptic number.

164000028800 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 164000028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202689401490).

164000028800 is an abundant number, since it is smaller than the sum of its proper divisors (241378774180).

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

164000028800 is a wasteful number, since it uses less digits than its factorization.

164000028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31330 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 164000028800 in words is "one hundred sixty-four billion, twenty-eight thousand, eight hundred".