10717636400 has 120 divisors (see below), whose sum is σ = 27440163360. Its totient is φ = 4008775680.

The previous prime is 10717636381. The next prime is 10717636403. The reversal of 10717636400 is 463671701.

10717636400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10717636400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10717636403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062581 + ... + 1072619.

It is an arithmetic number, because the mean of its divisors is an integer number (228668028).

Almost surely, 2^10717636400 is an apocalyptic number.

10717636400 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 10717636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720081680).

10717636400 is an abundant number, since it is smaller than the sum of its proper divisors (16722526960).

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

10717636400 is a wasteful number, since it uses less digits than its factorization.

10717636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 10717636400 in words is "ten billion, seven hundred seventeen million, six hundred thirty-six thousand, four hundred".