10776782719752 has 128 divisors (see below), whose sum is σ = 32131005696000. Its totient is φ = 2945073212928.

The previous prime is 10776782719679. The next prime is 10776782719763. The reversal of 10776782719752 is 25791728767701.

It is a super-2 number, since 2×10776782719752² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

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, 108524908 + ... + 108624164.

It is an arithmetic number, because the mean of its divisors is an integer number (251023482000).

Almost surely, 2^{10776782719752} is an apocalyptic number.

10776782719752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10776782719752 is an abundant number, since it is smaller than the sum of its proper divisors (21354222976248).

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

10776782719752 is a wasteful number, since it uses less digits than its factorization.

10776782719752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127395 (or 127391 counting only the distinct ones).

The product of its (nonzero) digits is 145212480, while the sum is 69.

The spelling of 10776782719752 in words is "ten trillion, seven hundred seventy-six billion, seven hundred eighty-two million, seven hundred nineteen thousand, seven hundred fifty-two".