10530312800 has 72 divisors (see below), whose sum is σ = 29379588336. Its totient is φ = 3610391040.

The previous prime is 10530312799. The next prime is 10530312827. The reversal of 10530312800 is 821303501.

10530312800 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 2×10530312800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 934607 + ... + 945806.

It is an arithmetic number, because the mean of its divisors is an integer number (408049838).

Almost surely, 2^10530312800 is an apocalyptic number.

10530312800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10530312800 is an abundant number, since it is smaller than the sum of its proper divisors (18849275536).

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

10530312800 is a wasteful number, since it uses less digits than its factorization.

10530312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880440 (or 1880427 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 10530312800 in words is "ten billion, five hundred thirty million, three hundred twelve thousand, eight hundred".