10096686431104 has 256 divisors, whose sum is σ = 25300114076160. Its totient is φ = 3907010764800.

The previous prime is 10096686431099. The next prime is 10096686431113. The reversal of 10096686431104 is 40113468669001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204316159 + ... + 204365569.

It is an arithmetic number, because the mean of its divisors is an integer number (98828570610).

Almost surely, 2^{10096686431104} is an apocalyptic number.

10096686431104 is a gapful number since it is divisible by the number (14) 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 10096686431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650057038080).

10096686431104 is an abundant number, since it is smaller than the sum of its proper divisors (15203427645056).

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

10096686431104 is a wasteful number, since it uses less digits than its factorization.

10096686431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49829 (or 49817 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 10096686431104 in words is "ten trillion, ninety-six billion, six hundred eighty-six million, four hundred thirty-one thousand, one hundred four".