164030020000 has 720 divisors, whose sum is σ = 530220974976. Its totient is φ = 48787200000.

The previous prime is 164030019887. The next prime is 164030020003. The reversal of 164030020000 is 20030461.

It is a super-2 number, since 2×164030020000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (164030020003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 389619790 + ... + 389620210.

Almost surely, 2^164030020000 is an apocalyptic number.

164030020000 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 164030020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265110487488).

164030020000 is an abundant number, since it is smaller than the sum of its proper divisors (366190954976).

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

164030020000 is a wasteful number, since it uses less digits than its factorization.

164030020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 164030020000 its reverse (20030461), we get a palindrome (164050050461).

The spelling of 164030020000 in words is "one hundred sixty-four billion, thirty million, twenty thousand".