10509325056 has 216 divisors, whose sum is σ = 31251860640. Its totient is φ = 3394879488.

The previous prime is 10509325039. The next prime is 10509325063. The reversal of 10509325056 is 65052390501.

10509325056 is a `hidden beast` number, since 10 + 50 + 93 + 2 + 505 + 6 = 666.

It is a super-2 number, since 2×10509325056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10509325056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10867485 + ... + 10868451.

It is an arithmetic number, because the mean of its divisors is an integer number (144684540).

Almost surely, 2^10509325056 is an apocalyptic number.

10509325056 is a gapful number since it is divisible by the number (16) 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 10509325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625930320).

10509325056 is an abundant number, since it is smaller than the sum of its proper divisors (20742535584).

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

10509325056 is an equidigital number, since it uses as much as digits as its factorization.

10509325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 10509325056 in words is "ten billion, five hundred nine million, three hundred twenty-five thousand, fifty-six".