10006321743712 has 96 divisors (see below), whose sum is σ = 22739671805760. Its totient is φ = 4245490636800.

The previous prime is 10006321743703. The next prime is 10006321743767. The reversal of 10006321743712 is 21734712360001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266695578 + ... + 266733094.

It is an arithmetic number, because the mean of its divisors is an integer number (236871581310).

Almost surely, 2^{10006321743712} 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 10006321743712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369835902880).

10006321743712 is an abundant number, since it is smaller than the sum of its proper divisors (12733350062048).

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

10006321743712 is a wasteful number, since it uses less digits than its factorization.

10006321743712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49424 (or 49416 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 10006321743712 in words is "ten trillion, six billion, three hundred twenty-one million, seven hundred forty-three thousand, seven hundred twelve".