164515320600 has 192 divisors, whose sum is σ = 541122508800. Its totient is φ = 41204090880.

The previous prime is 164515320551. The next prime is 164515320611. The reversal of 164515320600 is 6023515461.

164515320600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4950841 + ... + 4983959.

It is an arithmetic number, because the mean of its divisors is an integer number (2818346400).

Almost surely, 2^164515320600 is an apocalyptic number.

164515320600 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 164515320600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270561254400).

164515320600 is an abundant number, since it is smaller than the sum of its proper divisors (376607188200).

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

164515320600 is a wasteful number, since it uses less digits than its factorization.

164515320600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33642 (or 33633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 164515320600 in words is "one hundred sixty-four billion, five hundred fifteen million, three hundred twenty thousand, six hundred".