164705520000000 has 2816 divisors, whose sum is σ = 681649254973440. Its totient is φ = 34504704000000.

The previous prime is 164705519999893. The next prime is 164705520000001. The reversal of 164705520000000 is 25507461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164705520000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2084879999961 + ... + 2084880000039.

Almost surely, 2^{164705520000000} is an apocalyptic number.

164705520000000 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 164705520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340824627486720).

164705520000000 is an abundant number, since it is smaller than the sum of its proper divisors (516943734973440).

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

164705520000000 is an frugal number, since it uses more digits than its factorization.

164705520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

Adding to 164705520000000 its reverse (25507461), we get a palindrome (164705545507461).

The spelling of 164705520000000 in words is "one hundred sixty-four trillion, seven hundred five billion, five hundred twenty million", and thus it is an aban number.