110054213350000 has 480 divisors, whose sum is σ = 275501841753600. Its totient is φ = 42568752000000.

The previous prime is 110054213349959. The next prime is 110054213350007. The reversal of 110054213350000 is 53312450011.

It is a happy number.

It is a super-2 number, since 2×110054213350000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110054213350007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47663148846 + ... + 47663151154.

It is an arithmetic number, because the mean of its divisors is an integer number (573962170320).

Almost surely, 2^{110054213350000} is an apocalyptic number.

110054213350000 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 110054213350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137750920876800).

110054213350000 is an abundant number, since it is smaller than the sum of its proper divisors (165447628403600).

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

110054213350000 is a wasteful number, since it uses less digits than its factorization.

110054213350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 110054213350000 in words is "one hundred ten trillion, fifty-four billion, two hundred thirteen million, three hundred fifty thousand".