10383127958112 has 768 divisors, whose sum is σ = 36739429171200. Its totient is φ = 2490668974080.

The previous prime is 10383127958101. The next prime is 10383127958149. The reversal of 10383127958112 is 21185972138301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 653471064 + ... + 653486952.

It is an arithmetic number, because the mean of its divisors is an integer number (47837798400).

Almost surely, 2^{10383127958112} is an apocalyptic number.

10383127958112 is a gapful number since it is divisible by the number (12) 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 10383127958112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369714585600).

10383127958112 is an abundant number, since it is smaller than the sum of its proper divisors (26356301213088).

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

10383127958112 is a wasteful number, since it uses less digits than its factorization.

10383127958112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16099 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 10383127958112 in words is "ten trillion, three hundred eighty-three billion, one hundred twenty-seven million, nine hundred fifty-eight thousand, one hundred twelve".