10824908801 has 16 divisors (see below), whose sum is σ = 12565649280. Its totient is φ = 9132963840.

The previous prime is 10824908791. The next prime is 10824908803. The reversal of 10824908801 is 10880942801.

It is not a de Polignac number, because 10824908801 - 2¹⁴ = 10824892417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10824908803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652631 + ... + 669011.

It is an arithmetic number, because the mean of its divisors is an integer number (785353080).

Almost surely, 2^10824908801 is an apocalyptic number.

It is an amenable number.

10824908801 is a deficient number, since it is larger than the sum of its proper divisors (1740740479).

10824908801 is a wasteful number, since it uses less digits than its factorization.

10824908801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17864.

The product of its (nonzero) digits is 36864, while the sum is 41.

The spelling of 10824908801 in words is "ten billion, eight hundred twenty-four million, nine hundred eight thousand, eight hundred one".