110755864560 has 80 divisors (see below), whose sum is σ = 374556205440. Its totient is φ = 26849905920.

The previous prime is 110755864553. The next prime is 110755864567. The reversal of 110755864560 is 65468557011.

It is an interprime number because it is at equal distance from previous prime (110755864553) and next prime (110755864567).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110755864567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20973850 + ... + 20979129.

It is an arithmetic number, because the mean of its divisors is an integer number (4681952568).

Almost surely, 2^110755864560 is an apocalyptic number.

110755864560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110755864560 is an abundant number, since it is smaller than the sum of its proper divisors (263800340880).

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

110755864560 is a wasteful number, since it uses less digits than its factorization.

110755864560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41953006 (or 41953000 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 110755864560 in words is "one hundred ten billion, seven hundred fifty-five million, eight hundred sixty-four thousand, five hundred sixty".