10917010000 has 200 divisors, whose sum is σ = 28851764480. Its totient is φ = 3976128000.

The previous prime is 10917009991. The next prime is 10917010001. The reversal of 10917010000 is 1071901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10917010000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10917010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10917010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10269469 + ... + 10270531.

Almost surely, 2^10917010000 is an apocalyptic number.

10917010000 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 10917010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425882240).

10917010000 is an abundant number, since it is smaller than the sum of its proper divisors (17934754480).

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

10917010000 is a wasteful number, since it uses less digits than its factorization.

10917010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 10917010000 its reverse (1071901), we get a palindrome (10918081901).

The spelling of 10917010000 in words is "ten billion, nine hundred seventeen million, ten thousand".