10824256800 has 720 divisors, whose sum is σ = 46128297600. Its totient is φ = 2469035520.

The previous prime is 10824256799. The next prime is 10824256819. The reversal of 10824256800 is 865242801.

10824256800 is a `hidden beast` number, since 10 + 82 + 4 + 2 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22226157 + ... + 22226643.

It is an arithmetic number, because the mean of its divisors is an integer number (64067080).

Almost surely, 2^10824256800 is an apocalyptic number.

10824256800 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 10824256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064148800).

10824256800 is an abundant number, since it is smaller than the sum of its proper divisors (35304040800).

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

10824256800 is an equidigital number, since it uses as much as digits as its factorization.

10824256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10824256800 in words is "ten billion, eight hundred twenty-four million, two hundred fifty-six thousand, eight hundred".