10011006720 has 864 divisors, whose sum is σ = 41783938560. Its totient is φ = 2180874240.

The previous prime is 10011006667. The next prime is 10011006751. The reversal of 10011006720 is 2760011001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10011006693 and 10011006702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97194189 + ... + 97194291.

It is an arithmetic number, because the mean of its divisors is an integer number (48361040).

Almost surely, 2^10011006720 is an apocalyptic number.

10011006720 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 10011006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891969280).

10011006720 is an abundant number, since it is smaller than the sum of its proper divisors (31772931840).

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

10011006720 is a wasteful number, since it uses less digits than its factorization.

10011006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10011006720 its reverse (2760011001), we get a palindrome (12771017721).

The spelling of 10011006720 in words is "ten billion, eleven million, six thousand, seven hundred twenty".