10006688214000 has 640 divisors, whose sum is σ = 37701004124160. Its totient is φ = 2533624704000.

The previous prime is 10006688213989. The next prime is 10006688214001. The reversal of 10006688214000 is 41288660001.

10006688214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006688214001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88665607 + ... + 88778393.

It is an arithmetic number, because the mean of its divisors is an integer number (58907818944).

Almost surely, 2^{10006688214000} is an apocalyptic number.

10006688214000 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 10006688214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850502062080).

10006688214000 is an abundant number, since it is smaller than the sum of its proper divisors (27694315910160).

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

10006688214000 is a wasteful number, since it uses less digits than its factorization.

10006688214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112903 (or 112881 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10006688214000 in words is "ten trillion, six billion, six hundred eighty-eight million, two hundred fourteen thousand".