10009546824 has 256 divisors, whose sum is σ = 28553472000. Its totient is φ = 2907238400.

The previous prime is 10009546793. The next prime is 10009546861. The reversal of 10009546824 is 42864590001.

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 63 ways as a sum of consecutive naturals, for example, 55919167 + ... + 55919345.

It is an arithmetic number, because the mean of its divisors is an integer number (111537000).

Almost surely, 2^10009546824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10009546824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276736000).

10009546824 is an abundant number, since it is smaller than the sum of its proper divisors (18543925176).

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

10009546824 is a wasteful number, since it uses less digits than its factorization.

10009546824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10009546824 in words is "ten billion, nine million, five hundred forty-six thousand, eight hundred twenty-four".