10322560000 has 165 divisors, whose sum is σ = 25990179699. Its totient is φ = 4096512000.

The previous prime is 10322559979. The next prime is 10322560013. The reversal of 10322560000 is 6522301.

It is a happy number.

The square root of 10322560000 is 101600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 809288704 + 9513271296 = 28448^2 + 97536^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10322560000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 81279937 + ... + 81280063.

Almost surely, 2^10322560000 is an apocalyptic number.

10322560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10322560000 is the 101600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322560000

10322560000 is an abundant number, since it is smaller than the sum of its proper divisors (15667619699).

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

10322560000 is an frugal number, since it uses more digits than its factorization.

10322560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 10322560000 in words is "ten billion, three hundred twenty-two million, five hundred sixty thousand".