10000023824 has 80 divisors (see below), whose sum is σ = 22328928000. Its totient is φ = 4249884672.

The previous prime is 10000023823. The next prime is 10000023827. The reversal of 10000023824 is 42832000001.

It is a junction number, because it is equal to n+sod(n) for n = 10000023796 and 10000023805.

It is not an unprimeable number, because it can be changed into a prime (10000023823) 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, 9115244 + ... + 9116340.

It is an arithmetic number, because the mean of its divisors is an integer number (279111600).

Almost surely, 2^10000023824 is an apocalyptic number.

10000023824 is a gapful number since it is divisible by the number (14) 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 10000023824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164464000).

10000023824 is an abundant number, since it is smaller than the sum of its proper divisors (12328904176).

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

10000023824 is a wasteful number, since it uses less digits than its factorization.

10000023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10000023824 its reverse (42832000001), we get a palindrome (52832023825).

The spelling of 10000023824 in words is "ten billion, twenty-three thousand, eight hundred twenty-four".