10580112000 has 512 divisors, whose sum is σ = 41052960000. Its totient is φ = 2670796800.

The previous prime is 10580111953. The next prime is 10580112043. The reversal of 10580112000 is 21108501.

10580112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10580112000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207356 + ... + 8208644.

Almost surely, 2^10580112000 is an apocalyptic number.

10580112000 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 10580112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526480000).

10580112000 is an abundant number, since it is smaller than the sum of its proper divisors (30472848000).

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

10580112000 is a wasteful number, since it uses less digits than its factorization.

10580112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 10580112000 in words is "ten billion, five hundred eighty million, one hundred twelve thousand".