164417185020 has 192 divisors, whose sum is σ = 509438232576. Its totient is φ = 39288049920.

The previous prime is 164417185019. The next prime is 164417185039. The reversal of 164417185020 is 20581714461.

It is a super-3 number, since 3×164417185020³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164417185020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25579047 + ... + 25585473.

It is an arithmetic number, because the mean of its divisors is an integer number (2653324128).

Almost surely, 2^164417185020 is an apocalyptic number.

164417185020 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 164417185020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254719116288).

164417185020 is an abundant number, since it is smaller than the sum of its proper divisors (345021047556).

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

164417185020 is a wasteful number, since it uses less digits than its factorization.

164417185020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 164417185020 its reverse (20581714461), we get a palindrome (184998899481).

The spelling of 164417185020 in words is "one hundred sixty-four billion, four hundred seventeen million, one hundred eighty-five thousand, twenty".