10438865667000 has 768 divisors, whose sum is σ = 36273528345600. Its totient is φ = 2706963840000.

The previous prime is 10438865666989. The next prime is 10438865667011. The reversal of 10438865667000 is 76656883401.

10438865667000 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 8 + 8 + 6 + 566 + 70 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10438865666989) and next prime (10438865667011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18741230722 + ... + 18741231278.

It is an arithmetic number, because the mean of its divisors is an integer number (47231156700).

Almost surely, 2^{10438865667000} is an apocalyptic number.

10438865667000 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 10438865667000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136764172800).

10438865667000 is an abundant number, since it is smaller than the sum of its proper divisors (25834662678600).

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

10438865667000 is a wasteful number, since it uses less digits than its factorization.

10438865667000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10438865667000 in words is "ten trillion, four hundred thirty-eight billion, eight hundred sixty-five million, six hundred sixty-seven thousand".