110399116181760 has 1728 divisors, whose sum is σ = 492687303628800. Its totient is φ = 22866080219136.

The previous prime is 110399116181719. The next prime is 110399116181797. The reversal of 110399116181760 is 67181611993011.

It is a happy number.

110399116181760 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 9 + 9 + 1 + 1 + 618 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 110399116181697 and 110399116181706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2431515219 + ... + 2431560621.

Almost surely, 2^{110399116181760} is an apocalyptic number.

110399116181760 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 110399116181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246343651814400).

110399116181760 is an abundant number, since it is smaller than the sum of its proper divisors (382288187447040).

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

110399116181760 is a wasteful number, since it uses less digits than its factorization.

110399116181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45505 (or 45462 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 54.

The spelling of 110399116181760 in words is "one hundred ten trillion, three hundred ninety-nine billion, one hundred sixteen million, one hundred eighty-one thousand, seven hundred sixty".