10506325320 has 320 divisors, whose sum is σ = 37719475200. Its totient is φ = 2617090560.

The previous prime is 10506325303. The next prime is 10506325327. The reversal of 10506325320 is 2352360501.

10506325320 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 632 + 5 + 3 + 20 = 666.

It is a super-3 number, since 3×10506325320³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10506325327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2910957 + ... + 2914563.

It is an arithmetic number, because the mean of its divisors is an integer number (117873360).

Almost surely, 2^10506325320 is an apocalyptic number.

10506325320 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 10506325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859737600).

10506325320 is an abundant number, since it is smaller than the sum of its proper divisors (27213149880).

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

10506325320 is a wasteful number, since it uses less digits than its factorization.

10506325320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10506325320 its reverse (2352360501), we get a palindrome (12858685821).

The spelling of 10506325320 in words is "ten billion, five hundred six million, three hundred twenty-five thousand, three hundred twenty".