164161015200 has 2160 divisors, whose sum is σ = 776186117784. Its totient is φ = 33443020800.

The previous prime is 164161015177. The next prime is 164161015229. The reversal of 164161015200 is 2510161461.

164161015200 is a `hidden beast` number, since 1 + 6 + 41 + 610 + 1 + 5 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10211506704 + 153949508496 = 101052^2 + 392364^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×164161015200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1692381552 + ... + 1692381648.

Almost surely, 2^164161015200 is an apocalyptic number.

164161015200 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 164161015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388093058892).

164161015200 is an abundant number, since it is smaller than the sum of its proper divisors (612025102584).

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

164161015200 is a wasteful number, since it uses less digits than its factorization.

164161015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 164161015200 its reverse (2510161461), we get a palindrome (166671176661).

The spelling of 164161015200 in words is "one hundred sixty-four billion, one hundred sixty-one million, fifteen thousand, two hundred".