164021165540 has 96 divisors (see below), whose sum is σ = 368213852160. Its totient is φ = 61236403200.

The previous prime is 164021165533. The next prime is 164021165563. The reversal of 164021165540 is 45561120461.

It is a self number, because there is not a number n which added to its sum of digits gives 164021165540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18568925 + ... + 18577755.

It is an arithmetic number, because the mean of its divisors is an integer number (3835560960).

Almost surely, 2^164021165540 is an apocalyptic number.

164021165540 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 164021165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184106926080).

164021165540 is an abundant number, since it is smaller than the sum of its proper divisors (204192686620).

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

164021165540 is a wasteful number, since it uses less digits than its factorization.

164021165540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 164021165540 in words is "one hundred sixty-four billion, twenty-one million, one hundred sixty-five thousand, five hundred forty".