10824630960 has 480 divisors, whose sum is σ = 40545779904. Its totient is φ = 2372198400.

The previous prime is 10824630953. The next prime is 10824630979. The reversal of 10824630960 is 6903642801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20008290 + ... + 20008830.

Almost surely, 2^10824630960 is an apocalyptic number.

10824630960 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 10824630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272889952).

10824630960 is an abundant number, since it is smaller than the sum of its proper divisors (29721148944).

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

10824630960 is a wasteful number, since it uses less digits than its factorization.

10824630960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10824630960 in words is "ten billion, eight hundred twenty-four million, six hundred thirty thousand, nine hundred sixty".