16755441120 has 864 divisors, whose sum is σ = 67949534016. Its totient is φ = 3746856960.

The previous prime is 16755441113. The next prime is 16755441121. The reversal of 16755441120 is 2114455761.

16755441120 is a `hidden beast` number, since 1 + 67 + 554 + 41 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16755441121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148278184 + ... + 148278296.

It is an arithmetic number, because the mean of its divisors is an integer number (78645294).

Almost surely, 2^16755441120 is an apocalyptic number.

16755441120 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 16755441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33974767008).

16755441120 is an abundant number, since it is smaller than the sum of its proper divisors (51194092896).

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

16755441120 is a wasteful number, since it uses less digits than its factorization.

16755441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 16755441120 its reverse (2114455761), we get a palindrome (18869896881).

The spelling of 16755441120 in words is "sixteen billion, seven hundred fifty-five million, four hundred forty-one thousand, one hundred twenty".