10810456204800 has 1440 divisors, whose sum is σ = 44091400826880. Its totient is φ = 2321503027200.

The previous prime is 10810456204799. The next prime is 10810456204829. The reversal of 10810456204800 is 840265401801.

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 143 ways as a sum of consecutive naturals, for example, 4540299610 + ... + 4540301990.

It is an arithmetic number, because the mean of its divisors is an integer number (30619028352).

Almost surely, 2^{10810456204800} is an apocalyptic number.

10810456204800 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 10810456204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22045700413440).

10810456204800 is an abundant number, since it is smaller than the sum of its proper divisors (33280944622080).

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

10810456204800 is a wasteful number, since it uses less digits than its factorization.

10810456204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 10810456204800 in words is "ten trillion, eight hundred ten billion, four hundred fifty-six million, two hundred four thousand, eight hundred".