10917607680 has 720 divisors, whose sum is σ = 45705475200. Its totient is φ = 2487324672.

The previous prime is 10917607669. The next prime is 10917607681. The reversal of 10917607680 is 8670671901.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10917607681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35562087 + ... + 35562393.

Almost surely, 2^10917607680 is an apocalyptic number.

10917607680 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 10917607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852737600).

10917607680 is an abundant number, since it is smaller than the sum of its proper divisors (34787867520).

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

10917607680 is an frugal number, since it uses more digits than its factorization.

10917607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 10917607680 in words is "ten billion, nine hundred seventeen million, six hundred seven thousand, six hundred eighty".