10779205248 has 320 divisors, whose sum is σ = 38595902400. Its totient is φ = 2917306368.

The previous prime is 10779205247. The next prime is 10779205253. The reversal of 10779205248 is 84250297701.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10779205247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1375036 + ... + 1382852.

It is an arithmetic number, because the mean of its divisors is an integer number (120612195).

Almost surely, 2^10779205248 is an apocalyptic number.

10779205248 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 10779205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297951200).

10779205248 is an abundant number, since it is smaller than the sum of its proper divisors (27816697152).

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

10779205248 is an equidigital number, since it uses as much as digits as its factorization.

10779205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10779205248 in words is "ten billion, seven hundred seventy-nine million, two hundred five thousand, two hundred forty-eight".