164003997120 has 224 divisors, whose sum is σ = 547656837120. Its totient is φ = 41524654080.

The previous prime is 164003997097. The next prime is 164003997217. The reversal of 164003997120 is 21799300461.

It is a super-2 number, since 2×164003997120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 1525291 + ... + 1629269.

Almost surely, 2^164003997120 is an apocalyptic number.

164003997120 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 164003997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273828418560).

164003997120 is an abundant number, since it is smaller than the sum of its proper divisors (383652840000).

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

164003997120 is a wasteful number, since it uses less digits than its factorization.

164003997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104083 (or 104073 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 164003997120 in words is "one hundred sixty-four billion, three million, nine hundred ninety-seven thousand, one hundred twenty".