10329776116128 has 648 divisors, whose sum is σ = 36345773609964. Its totient is φ = 2774222438400.

The previous prime is 10329776116103. The next prime is 10329776116141. The reversal of 10329776116128 is 82161167792301.

10329776116128 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 9 + 7 + 7 + 6 + 11 + 612 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2588404757904 + 7741371358224 = 1608852^2 + 2782332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5550657918 + ... + 5550659778.

Almost surely, 2^{10329776116128} is an apocalyptic number.

10329776116128 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 10329776116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172886804982).

10329776116128 is an abundant number, since it is smaller than the sum of its proper divisors (26015997493836).

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

10329776116128 is a wasteful number, since it uses less digits than its factorization.

10329776116128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10329776116128 in words is "ten trillion, three hundred twenty-nine billion, seven hundred seventy-six million, one hundred sixteen thousand, one hundred twenty-eight".