164526324400 has 120 divisors (see below), whose sum is σ = 399536057520. Its totient is φ = 65102791680.

The previous prime is 164526324349. The next prime is 164526324401. The reversal of 164526324400 is 4423625461.

It is a super-2 number, since 2×164526324400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164526324400.

It is not an unprimeable number, because it can be changed into a prime (164526324401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35478882 + ... + 35483518.

It is an arithmetic number, because the mean of its divisors is an integer number (3329467146).

Almost surely, 2^164526324400 is an apocalyptic number.

164526324400 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 164526324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199768028760).

164526324400 is an abundant number, since it is smaller than the sum of its proper divisors (235009733120).

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

164526324400 is a wasteful number, since it uses less digits than its factorization.

164526324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 164526324400 its reverse (4423625461), we get a palindrome (168949949861).

The spelling of 164526324400 in words is "one hundred sixty-four billion, five hundred twenty-six million, three hundred twenty-four thousand, four hundred".