10239738676128 has 576 divisors, whose sum is σ = 34396665357600. Its totient is φ = 2860457656320.

The previous prime is 10239738676007. The next prime is 10239738676151. The reversal of 10239738676128 is 82167683793201.

10239738676128 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 7 + 3 + 8 + 6 + 7 + 612 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 164015280144 + 10075723395984 = 404988^2 + 3174228^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232229508 + ... + 232273596.

Almost surely, 2^{10239738676128} is an apocalyptic number.

10239738676128 is a gapful number since it is divisible by the number (18) 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 10239738676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198332678800).

10239738676128 is an abundant number, since it is smaller than the sum of its proper divisors (24156926681472).

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

10239738676128 is a wasteful number, since it uses less digits than its factorization.

10239738676128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44265 (or 44254 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10239738676128 in words is "ten trillion, two hundred thirty-nine billion, seven hundred thirty-eight million, six hundred seventy-six thousand, one hundred twenty-eight".