10648824800 has 36 divisors (see below), whose sum is σ = 25996445496. Its totient is φ = 4259529600.

The previous prime is 10648824773. The next prime is 10648824811. The reversal of 10648824800 is 842884601.

10648824800 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 2×10648824800² (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 5 ways as a sum of consecutive naturals, for example, 6654716 + ... + 6656315.

It is an arithmetic number, because the mean of its divisors is an integer number (722123486).

Almost surely, 2^10648824800 is an apocalyptic number.

10648824800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10648824800 is an abundant number, since it is smaller than the sum of its proper divisors (15347620696).

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

10648824800 is a wasteful number, since it uses less digits than its factorization.

10648824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311051 (or 13311038 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 10648824800 in words is "ten billion, six hundred forty-eight million, eight hundred twenty-four thousand, eight hundred".