10685765576448 has 108 divisors (see below), whose sum is σ = 31950796551128. Its totient is φ = 3561921838080.

The previous prime is 10685765576417. The next prime is 10685765576449. The reversal of 10685765576448 is 84467556758601.

10685765576448 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 7 + 6 + 5 + 576 + 4 + 48 = 666.

10685765576448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×10685765576448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10685765576449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85825183 + ... + 85949598.

Almost surely, 2^{10685765576448} is an apocalyptic number.

10685765576448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10685765576448 is an abundant number, since it is smaller than the sum of its proper divisors (21265030974680).

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

10685765576448 is an frugal number, since it uses more digits than its factorization.

10685765576448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171774812 (or 171774786 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 10685765576448 in words is "ten trillion, six hundred eighty-five billion, seven hundred sixty-five million, five hundred seventy-six thousand, four hundred forty-eight".