10824960400 has 60 divisors (see below), whose sum is σ = 26166676912. Its totient is φ = 4303393920.

The previous prime is 10824960361. The next prime is 10824960431. The reversal of 10824960400 is 406942801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17814 + ... + 148213.

Almost surely, 2^10824960400 is an apocalyptic number.

10824960400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10824960400 is an abundant number, since it is smaller than the sum of its proper divisors (15341716512).

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

10824960400 is a wasteful number, since it uses less digits than its factorization.

10824960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166208 (or 166197 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10824960400 in words is "ten billion, eight hundred twenty-four million, nine hundred sixty thousand, four hundred".