164089710720 has 384 divisors, whose sum is σ = 619335138240. Its totient is φ = 39787241472.

The previous prime is 164089710713. The next prime is 164089710749. The reversal of 164089710720 is 27017980461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5000607 + ... + 5033313.

Almost surely, 2^164089710720 is an apocalyptic number.

164089710720 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 164089710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309667569120).

164089710720 is an abundant number, since it is smaller than the sum of its proper divisors (455245427520).

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

164089710720 is a wasteful number, since it uses less digits than its factorization.

164089710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32812 (or 32797 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 164089710720 in words is "one hundred sixty-four billion, eighty-nine million, seven hundred ten thousand, seven hundred twenty".