164956500520 has 256 divisors, whose sum is σ = 476976729600. Its totient is φ = 49978736640.

The previous prime is 164956500517. The next prime is 164956500523. The reversal of 164956500520 is 25005659461.

164956500520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164956500517) and next prime (164956500523).

It is not an unprimeable number, because it can be changed into a prime (164956500523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10211650 + ... + 10227790.

It is an arithmetic number, because the mean of its divisors is an integer number (1863190350).

Almost surely, 2^164956500520 is an apocalyptic number.

164956500520 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 164956500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238488364800).

164956500520 is an abundant number, since it is smaller than the sum of its proper divisors (312020229080).

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

164956500520 is a wasteful number, since it uses less digits than its factorization.

164956500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308 (or 16304 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 164956500520 in words is "one hundred sixty-four billion, nine hundred fifty-six million, five hundred thousand, five hundred twenty".