164939026560 has 2048 divisors, whose sum is σ = 751273574400. Its totient is φ = 29727129600.

The previous prime is 164939026559. The next prime is 164939026579. The reversal of 164939026560 is 65620939461.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2259438684 + ... + 2259438756.

It is an arithmetic number, because the mean of its divisors is an integer number (366832800).

Almost surely, 2^164939026560 is an apocalyptic number.

164939026560 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 164939026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375636787200).

164939026560 is an abundant number, since it is smaller than the sum of its proper divisors (586334547840).

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

164939026560 is a wasteful number, since it uses less digits than its factorization.

164939026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 164939026560 in words is "one hundred sixty-four billion, nine hundred thirty-nine million, twenty-six thousand, five hundred sixty".