538330672320 has 448 divisors, whose sum is σ = 2068574699520. Its totient is φ = 115868233728.

The previous prime is 538330672303. The next prime is 538330672331. The reversal of 538330672320 is 23276033835.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×538330672320³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21309937 + ... + 21335183.

It is an arithmetic number, because the mean of its divisors is an integer number (4617354240).

Almost surely, 2^538330672320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538330672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034287349760).

538330672320 is an abundant number, since it is smaller than the sum of its proper divisors (1530244027200).

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

538330672320 is a wasteful number, since it uses less digits than its factorization.

538330672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25460 (or 25450 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 538330672320 in words is "five hundred thirty-eight billion, three hundred thirty million, six hundred seventy-two thousand, three hundred twenty".