10667317248 has 576 divisors, whose sum is σ = 38242713600. Its totient is φ = 2926264320.

The previous prime is 10667317183. The next prime is 10667317253. The reversal of 10667317248 is 84271376601.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×10667317248² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83994561 + ... + 83994687.

It is an arithmetic number, because the mean of its divisors is an integer number (66393600).

Almost surely, 2^10667317248 is an apocalyptic number.

10667317248 is a gapful number since it is divisible by the number (18) 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 10667317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

10667317248 is an abundant number, since it is smaller than the sum of its proper divisors (27575396352).

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

10667317248 is a wasteful number, since it uses less digits than its factorization.

10667317248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10667317248 in words is "ten billion, six hundred sixty-seven million, three hundred seventeen thousand, two hundred forty-eight".