164062120820 has 54 divisors (see below), whose sum is σ = 373124994102. Its totient is φ = 60568088256.

The previous prime is 164062120799. The next prime is 164062120823. The reversal of 164062120820 is 28021260461.

164062120820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 776625424 + 163285495396 = 27868^2 + 404086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164062120823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23544977 + ... + 23551943.

It is an arithmetic number, because the mean of its divisors is an integer number (6909722113).

Almost surely, 2^164062120820 is an apocalyptic number.

164062120820 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 164062120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186562497051).

164062120820 is an abundant number, since it is smaller than the sum of its proper divisors (209062873282).

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

164062120820 is an frugal number, since it uses more digits than its factorization.

164062120820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13969 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 164062120820 in words is "one hundred sixty-four billion, sixty-two million, one hundred twenty thousand, eight hundred twenty".