10000867012704 has 288 divisors, whose sum is σ = 29778742296576. Its totient is φ = 3301453209600.

The previous prime is 10000867012691. The next prime is 10000867012729. The reversal of 10000867012704 is 40721076800001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569808729 + ... + 569826279.

It is an arithmetic number, because the mean of its divisors is an integer number (103398410752).

Almost surely, 2^{10000867012704} 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 10000867012704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889371148288).

10000867012704 is an abundant number, since it is smaller than the sum of its proper divisors (19777875283872).

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

10000867012704 is a wasteful number, since it uses less digits than its factorization.

10000867012704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18280 (or 18260 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10000867012704 in words is "ten trillion, eight hundred sixty-seven million, twelve thousand, seven hundred four".