110755124960640 has 1024 divisors, whose sum is σ = 390378119915520. Its totient is φ = 26627663462400.

The previous prime is 110755124960639. The next prime is 110755124960647. The reversal of 110755124960640 is 46069421557011.

It is a happy number.

110755124960640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110755124960647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6139070020 + ... + 6139088060.

It is an arithmetic number, because the mean of its divisors is an integer number (381228632730).

Almost surely, 2^{110755124960640} is an apocalyptic number.

110755124960640 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 110755124960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195189059957760).

110755124960640 is an abundant number, since it is smaller than the sum of its proper divisors (279622994954880).

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

110755124960640 is a wasteful number, since it uses less digits than its factorization.

110755124960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 110755124960640 in words is "one hundred ten trillion, seven hundred fifty-five billion, one hundred twenty-four million, nine hundred sixty thousand, six hundred forty".