10218304320 has 448 divisors, whose sum is σ = 38627377152. Its totient is φ = 2239488000.

The previous prime is 10218304307. The next prime is 10218304379. The reversal of 10218304320 is 2340381201.

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

It is a super-2 number, since 2×10218304320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37705785 + ... + 37706055.

It is an arithmetic number, because the mean of its divisors is an integer number (86221824).

Almost surely, 2^10218304320 is an apocalyptic number.

10218304320 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 10218304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313688576).

10218304320 is an abundant number, since it is smaller than the sum of its proper divisors (28409072832).

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

10218304320 is a wasteful number, since it uses less digits than its factorization.

10218304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10218304320 its reverse (2340381201), we get a palindrome (12558685521).

The spelling of 10218304320 in words is "ten billion, two hundred eighteen million, three hundred four thousand, three hundred twenty".