16112010735700 has 288 divisors, whose sum is σ = 40144810567680. Its totient is φ = 5555724556800.

The previous prime is 16112010735673. The next prime is 16112010735701. The reversal of 16112010735700 is 753701021161.

It is a happy number.

It is a super-3 number, since 3×16112010735700³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16112010735701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2718406137 + ... + 2718412063.

It is an arithmetic number, because the mean of its divisors is an integer number (139391703360).

Almost surely, 2^{16112010735700} is an apocalyptic number.

16112010735700 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 16112010735700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072405283840).

16112010735700 is an abundant number, since it is smaller than the sum of its proper divisors (24032799831980).

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

16112010735700 is a wasteful number, since it uses less digits than its factorization.

16112010735700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

Adding to 16112010735700 its reverse (753701021161), we get a palindrome (16865711756861).

The spelling of 16112010735700 in words is "sixteen trillion, one hundred twelve billion, ten million, seven hundred thirty-five thousand, seven hundred".