10865007386688 has 672 divisors, whose sum is σ = 37026351022080. Its totient is φ = 2737624780800.

The previous prime is 10865007386687. The next prime is 10865007386729. The reversal of 10865007386688 is 88668370056801.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (10865007386687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326452673 + ... + 1326460863.

It is an arithmetic number, because the mean of its divisors is an integer number (55098736640).

Almost surely, 2^{10865007386688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10865007386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513175511040).

10865007386688 is an abundant number, since it is smaller than the sum of its proper divisors (26161343635392).

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

10865007386688 is a wasteful number, since it uses less digits than its factorization.

10865007386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 10865007386688 in words is "ten trillion, eight hundred sixty-five billion, seven million, three hundred eighty-six thousand, six hundred eighty-eight".