110120361684960 has 288 divisors, whose sum is σ = 381387865896576. Its totient is φ = 26688319257600.

The previous prime is 110120361684959. The next prime is 110120361684967. The reversal of 110120361684960 is 69486163021011.

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 (110120361684967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207138207 + ... + 207669153.

It is an arithmetic number, because the mean of its divisors is an integer number (1324263423252).

Almost surely, 2^{110120361684960} is an apocalyptic number.

110120361684960 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 110120361684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190693932948288).

110120361684960 is an abundant number, since it is smaller than the sum of its proper divisors (271267504211616).

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

110120361684960 is a wasteful number, since it uses less digits than its factorization.

110120361684960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534558 (or 534539 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 110120361684960 in words is "one hundred ten trillion, one hundred twenty billion, three hundred sixty-one million, six hundred eighty-four thousand, nine hundred sixty".