10824008720 has 160 divisors (see below), whose sum is σ = 30035577600. Its totient is φ = 3549063168.

The previous prime is 10824008677. The next prime is 10824008729. The reversal of 10824008720 is 2780042801.

It is not an unprimeable number, because it can be changed into a prime (10824008729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734566 + ... + 1740794.

It is an arithmetic number, because the mean of its divisors is an integer number (187722360).

Almost surely, 2^10824008720 is an apocalyptic number.

10824008720 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 10824008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017788800).

10824008720 is an abundant number, since it is smaller than the sum of its proper divisors (19211568880).

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

10824008720 is a wasteful number, since it uses less digits than its factorization.

10824008720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 10824008720 in words is "ten billion, eight hundred twenty-four million, eight thousand, seven hundred twenty".