164059117680 has 80 divisors (see below), whose sum is σ = 513249248160. Its totient is φ = 43347723264.

The previous prime is 164059117679. The next prime is 164059117699. The reversal of 164059117680 is 86711950461.

It is a happy number.

164059117680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3109527 + ... + 3161846.

It is an arithmetic number, because the mean of its divisors is an integer number (6415615602).

Almost surely, 2^164059117680 is an apocalyptic number.

164059117680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164059117680 is an abundant number, since it is smaller than the sum of its proper divisors (349190130480).

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

164059117680 is a wasteful number, since it uses less digits than its factorization.

164059117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271498 (or 6271492 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 164059117680 in words is "one hundred sixty-four billion, fifty-nine million, one hundred seventeen thousand, six hundred eighty".