10582113096256 has 189 divisors, whose sum is σ = 23518901073483. Its totient is φ = 4721817784320.

The previous prime is 10582113096221. The next prime is 10582113096271. The reversal of 10582113096256 is 65269031128501.

The square root of 10582113096256 is 3253016.

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

10582113096256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3264092622400 + 7318020473856 = 1806680^2 + 2705184^2 .

It is a super-2 number, since 2×10582113096256² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10487723080 + ... + 10487724088.

Almost surely, 2^{10582113096256} is an apocalyptic number.

10582113096256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10582113096256 is the 3253016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10582113096256

10582113096256 is an abundant number, since it is smaller than the sum of its proper divisors (12936787977227).

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

10582113096256 is an frugal number, since it uses more digits than its factorization.

10582113096256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 10582113096256 by its sum of digits (49), we get a square (518523541716544 = 22771112²).

The spelling of 10582113096256 in words is "ten trillion, five hundred eighty-two billion, one hundred thirteen million, ninety-six thousand, two hundred fifty-six".