10775856675600 has 315 divisors, whose sum is σ = 38822123249733. Its totient is φ = 2873089077120.

The previous prime is 10775856675569. The next prime is 10775856675601. The reversal of 10775856675600 is 657665857701.

The square root of 10775856675600 is 3282660.

It is a perfect power (a square), and thus also a powerful number.

10775856675600 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 5 + 8 + 5 + 6 + 67 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3879308403216 + 6896548272384 = 1969596^2 + 2626128^2 .

It is a super-2 number, since 2×10775856675600² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10775856675601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1772633361 + ... + 1772639439.

Almost surely, 2^{10775856675600} is an apocalyptic number.

10775856675600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10775856675600 is the 3282660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10775856675600

10775856675600 is an abundant number, since it is smaller than the sum of its proper divisors (28046266574133).

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

10775856675600 is an frugal number, since it uses more digits than its factorization.

10775856675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

It can be divided in two parts, 10775856 and 675600, that added together give a square (11451456 = 3384²).

The spelling of 10775856675600 in words is "ten trillion, seven hundred seventy-five billion, eight hundred fifty-six million, six hundred seventy-five thousand, six hundred".