10776759778944 has 640 divisors, whose sum is σ = 33506669813760. Its totient is φ = 3434565888000.

The previous prime is 10776759778943. The next prime is 10776759778987. The reversal of 10776759778944 is 44987795767701.

It is a happy number.

10776759778944 is a `hidden beast` number, since 10 + 7 + 7 + 6 + 7 + 597 + 7 + 8 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×10776759778944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (10776759778943) 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 79 ways as a sum of consecutive naturals, for example, 13094482917 + ... + 13094483739.

It is an arithmetic number, because the mean of its divisors is an integer number (52354171584).

Almost surely, 2^{10776759778944} 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 10776759778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753334906880).

10776759778944 is an abundant number, since it is smaller than the sum of its proper divisors (22729910034816).

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

10776759778944 is a wasteful number, since it uses less digits than its factorization.

10776759778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 5227649280, while the sum is 81.

The spelling of 10776759778944 in words is "ten trillion, seven hundred seventy-six billion, seven hundred fifty-nine million, seven hundred seventy-eight thousand, nine hundred forty-four".