10320214320 has 320 divisors, whose sum is σ = 38412541440. Its totient is φ = 2531699712.

The previous prime is 10320214319. The next prime is 10320214357. The reversal of 10320214320 is 2341202301.

10320214320 is a `hidden beast` number, since 1 + 0 + 320 + 21 + 4 + 320 = 666.

It is a super-2 number, since 2×10320214320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10320214293 and 10320214302.

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, 13112967 + ... + 13113753.

It is an arithmetic number, because the mean of its divisors is an integer number (120039192).

Almost surely, 2^10320214320 is an apocalyptic number.

10320214320 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 10320214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206270720).

10320214320 is an abundant number, since it is smaller than the sum of its proper divisors (28092327120).

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

10320214320 is a wasteful number, since it uses less digits than its factorization.

10320214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10320214320 its reverse (2341202301), we get a palindrome (12661416621).

The spelling of 10320214320 in words is "ten billion, three hundred twenty million, two hundred fourteen thousand, three hundred twenty".