10580160000 has 400 divisors, whose sum is σ = 35895809664. Its totient is φ = 2767872000.

The previous prime is 10580159903. The next prime is 10580160007. The reversal of 10580160000 is 6108501.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10580160000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580160007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 98879947 + ... + 98880053.

Almost surely, 2^10580160000 is an apocalyptic number.

10580160000 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 10580160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947904832).

10580160000 is an abundant number, since it is smaller than the sum of its proper divisors (25315649664).

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

10580160000 is an equidigital number, since it uses as much as digits as its factorization.

10580160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10580160000 its reverse (6108501), we get a palindrome (10586268501).

The spelling of 10580160000 in words is "ten billion, five hundred eighty million, one hundred sixty thousand".