164007220020 has 192 divisors, whose sum is σ = 543232327680. Its totient is φ = 36173910528.

The previous prime is 164007220019. The next prime is 164007220057. The reversal of 164007220020 is 20022700461.

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, 32237917 + ... + 32243003.

It is an arithmetic number, because the mean of its divisors is an integer number (2829335040).

Almost surely, 2^164007220020 is an apocalyptic number.

164007220020 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 164007220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271616163840).

164007220020 is an abundant number, since it is smaller than the sum of its proper divisors (379225107660).

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

164007220020 is a wasteful number, since it uses less digits than its factorization.

164007220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 164007220020 its reverse (20022700461), we get a palindrome (184029920481).

The spelling of 164007220020 in words is "one hundred sixty-four billion, seven million, two hundred twenty thousand, twenty".