10790328299328 has 448 divisors, whose sum is σ = 32768818790400. Its totient is φ = 3479644385280.

The previous prime is 10790328299297. The next prime is 10790328299363. The reversal of 10790328299328 is 82399282309701.

10790328299328 is a `hidden beast` number, since 10 + 7 + 9 + 0 + 3 + 2 + 8 + 299 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4453291525 + ... + 4453293947.

It is an arithmetic number, because the mean of its divisors is an integer number (73144684800).

Almost surely, 2^{10790328299328} is an apocalyptic number.

10790328299328 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 10790328299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384409395200).

10790328299328 is an abundant number, since it is smaller than the sum of its proper divisors (21978490491072).

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

10790328299328 is a wasteful number, since it uses less digits than its factorization.

10790328299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10790328299328 in words is "ten trillion, seven hundred ninety billion, three hundred twenty-eight million, two hundred ninety-nine thousand, three hundred twenty-eight".