10979768448 has 288 divisors, whose sum is σ = 34982372880. Its totient is φ = 3302999040.

The previous prime is 10979768441. The next prime is 10979768473. The reversal of 10979768448 is 84486797901.

10979768448 is a `hidden beast` number, since 10 + 97 + 97 + 6 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10979768441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31641811 + ... + 31642157.

Almost surely, 2^10979768448 is an apocalyptic number.

10979768448 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 10979768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491186440).

10979768448 is an abundant number, since it is smaller than the sum of its proper divisors (24002604432).

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

10979768448 is a wasteful number, since it uses less digits than its factorization.

10979768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 10979768448 in words is "ten billion, nine hundred seventy-nine million, seven hundred sixty-eight thousand, four hundred forty-eight".