10775080080312 has 128 divisors (see below), whose sum is σ = 28267517376000. Its totient is φ = 3417977454080.

The previous prime is 10775080080311. The next prime is 10775080080377. The reversal of 10775080080312 is 21308008057701.

It is a super-2 number, since 2×10775080080312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775080080311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174852418 + ... + 174914030.

It is an arithmetic number, because the mean of its divisors is an integer number (220839979500).

Almost surely, 2^{10775080080312} is an apocalyptic number.

10775080080312 is a gapful number since it is divisible by the number (12) 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 10775080080312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133758688000).

10775080080312 is an abundant number, since it is smaller than the sum of its proper divisors (17492437295688).

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

10775080080312 is a wasteful number, since it uses less digits than its factorization.

10775080080312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65261 (or 65257 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 10775080080312 in words is "ten trillion, seven hundred seventy-five billion, eighty million, eighty thousand, three hundred twelve".