10777493789568 has 576 divisors, whose sum is σ = 34494270370560. Its totient is φ = 3227249203200.

The previous prime is 10777493789561. The next prime is 10777493789611. The reversal of 10777493789568 is 86598739477701.

10777493789568 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 7 + 49 + 3 + 7 + 8 + 9 + 568 = 666.

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 (10777493789561) 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 71 ways as a sum of consecutive naturals, for example, 8755071513 + ... + 8755072743.

It is an arithmetic number, because the mean of its divisors is an integer number (59885886060).

Almost surely, 2^{10777493789568} is an apocalyptic number.

10777493789568 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 10777493789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247135185280).

10777493789568 is an abundant number, since it is smaller than the sum of its proper divisors (23716776580992).

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

10777493789568 is a wasteful number, since it uses less digits than its factorization.

10777493789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 4480842240, while the sum is 81.

The spelling of 10777493789568 in words is "ten trillion, seven hundred seventy-seven billion, four hundred ninety-three million, seven hundred eighty-nine thousand, five hundred sixty-eight".