164330320219520 has 1536 divisors, whose sum is σ = 538672476787200. Its totient is φ = 47345284546560.

The previous prime is 164330320219517. The next prime is 164330320219547. The reversal of 164330320219520 is 25912023033461.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21278038379 + ... + 21278046101.

It is an arithmetic number, because the mean of its divisors is an integer number (350698227075).

Almost surely, 2^{164330320219520} is an apocalyptic number.

164330320219520 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 164330320219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269336238393600).

164330320219520 is an abundant number, since it is smaller than the sum of its proper divisors (374342156567680).

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

164330320219520 is a wasteful number, since it uses less digits than its factorization.

164330320219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 164330320219520 in words is "one hundred sixty-four trillion, three hundred thirty billion, three hundred twenty million, two hundred nineteen thousand, five hundred twenty".