10775669673120 has 768 divisors, whose sum is σ = 38547057475584. Its totient is φ = 2506733568000.

The previous prime is 10775669673113. The next prime is 10775669673121. The reversal of 10775669673120 is 2137696657701.

It is a happy number.

It is a super-2 number, since 2×10775669673120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10775669673121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12286966122 + ... + 12286966998.

It is an arithmetic number, because the mean of its divisors is an integer number (50191481088).

Almost surely, 2^{10775669673120} is an apocalyptic number.

10775669673120 is a gapful number since it is divisible by the number (10) 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 10775669673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273528737792).

10775669673120 is an abundant number, since it is smaller than the sum of its proper divisors (27771387802464).

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

10775669673120 is a wasteful number, since it uses less digits than its factorization.

10775669673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 10775669673120 in words is "ten trillion, seven hundred seventy-five billion, six hundred sixty-nine million, six hundred seventy-three thousand, one hundred twenty".