10573216304 has 80 divisors (see below), whose sum is σ = 23880614400. Its totient is φ = 4441170432.

The previous prime is 10573216289. The next prime is 10573216307. The reversal of 10573216304 is 40361237501.

10573216304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10573216304² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10573216307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2370044 + ... + 2374500.

It is an arithmetic number, because the mean of its divisors is an integer number (298507680).

Almost surely, 2^10573216304 is an apocalyptic number.

10573216304 is a gapful number since it is divisible by the number (14) 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 10573216304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940307200).

10573216304 is an abundant number, since it is smaller than the sum of its proper divisors (13307398096).

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

10573216304 is a wasteful number, since it uses less digits than its factorization.

10573216304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 10573216304 in words is "ten billion, five hundred seventy-three million, two hundred sixteen thousand, three hundred four".