10011405824 has 160 divisors (see below), whose sum is σ = 24381772800. Its totient is φ = 4011171840.

The previous prime is 10011405821. The next prime is 10011405853. The reversal of 10011405824 is 42850411001.

It is a super-2 number, since 2×10011405824² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011405793 and 10011405802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011405821) 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, 5378654 + ... + 5380514.

It is an arithmetic number, because the mean of its divisors is an integer number (152386080).

Almost surely, 2^10011405824 is an apocalyptic number.

10011405824 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 10011405824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190886400).

10011405824 is an abundant number, since it is smaller than the sum of its proper divisors (14370366976).

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

10011405824 is an equidigital number, since it uses as much as digits as its factorization.

10011405824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 10011405824 its reverse (42850411001), we get a palindrome (52861816825).

The spelling of 10011405824 in words is "ten billion, eleven million, four hundred five thousand, eight hundred twenty-four".