10525136135360 has 1260 divisors, whose sum is σ = 34113438869760. Its totient is φ = 3083429099520.

The previous prime is 10525136135329. The next prime is 10525136135387. The reversal of 10525136135360 is 6353163152501.

It is a super-2 number, since 2×10525136135360² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 82875087617 + ... + 82875087743.

Almost surely, 2^{10525136135360} is an apocalyptic number.

10525136135360 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 10525136135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17056719434880).

10525136135360 is an abundant number, since it is smaller than the sum of its proper divisors (23588302734400).

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

10525136135360 is an equidigital number, since it uses as much as digits as its factorization.

10525136135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

Adding to 10525136135360 its reverse (6353163152501), we get a palindrome (16878299287861).

The spelling of 10525136135360 in words is "ten trillion, five hundred twenty-five billion, one hundred thirty-six million, one hundred thirty-five thousand, three hundred sixty".