10755282650112 has 2640 divisors, whose sum is σ = 44412370970240. Its totient is φ = 2553653329920.

The previous prime is 10755282650071. The next prime is 10755282650129. The reversal of 10755282650112 is 21105628255701.

It is a happy number.

10755282650112 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 52 + 82 + 6 + 501 + 12 = 666.

It is a super-2 number, since 2×10755282650112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104420219853 + ... + 104420219955.

Almost surely, 2^{10755282650112} is an apocalyptic number.

10755282650112 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 10755282650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206185485120).

10755282650112 is an abundant number, since it is smaller than the sum of its proper divisors (33657088320128).

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

10755282650112 is a wasteful number, since it uses less digits than its factorization.

10755282650112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 10755282650112 in words is "ten trillion, seven hundred fifty-five billion, two hundred eighty-two million, six hundred fifty thousand, one hundred twelve".