10779474444288 has 480 divisors, whose sum is σ = 32043294931200. Its totient is φ = 3195666432000.

The previous prime is 10779474444283. The next prime is 10779474444311. The reversal of 10779474444288 is 88244447497701.

It is not an unprimeable number, because it can be changed into a prime (10779474444283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6958988538 + ... + 6958990086.

It is an arithmetic number, because the mean of its divisors is an integer number (66756864440).

Almost surely, 2^{10779474444288} 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 10779474444288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021647465600).

10779474444288 is an abundant number, since it is smaller than the sum of its proper divisors (21263820486912).

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

10779474444288 is a wasteful number, since it uses less digits than its factorization.

10779474444288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 69.

The spelling of 10779474444288 in words is "ten trillion, seven hundred seventy-nine billion, four hundred seventy-four million, four hundred forty-four thousand, two hundred eighty-eight".