10779640320108 has 384 divisors, whose sum is σ = 30386653839360. Its totient is φ = 2938353408000.

The previous prime is 10779640320107. The next prime is 10779640320143. The reversal of 10779640320108 is 80102304697701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10779640320107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 874751635 + ... + 874763957.

It is an arithmetic number, because the mean of its divisors is an integer number (79131911040).

Almost surely, 2^{10779640320108} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10779640320108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193326919680).

10779640320108 is an abundant number, since it is smaller than the sum of its proper divisors (19607013519252).

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

10779640320108 is a wasteful number, since it uses less digits than its factorization.

10779640320108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 10779640320108 in words is "ten trillion, seven hundred seventy-nine billion, six hundred forty million, three hundred twenty thousand, one hundred eight".