10779931008 has 576 divisors, whose sum is σ = 40886838720. Its totient is φ = 2795627520.

The previous prime is 10779930961. The next prime is 10779931009. The reversal of 10779931008 is 80013997701.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10779931009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16764735 + ... + 16765377.

It is an arithmetic number, because the mean of its divisors is an integer number (70984095).

Almost surely, 2^10779931008 is an apocalyptic number.

10779931008 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 10779931008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20443419360).

10779931008 is an abundant number, since it is smaller than the sum of its proper divisors (30106907712).

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

10779931008 is an equidigital number, since it uses as much as digits as its factorization.

10779931008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 10779931008 in words is "ten billion, seven hundred seventy-nine million, nine hundred thirty-one thousand, eight".