16761351200 has 144 divisors (see below), whose sum is σ = 46579893696. Its totient is φ = 5829964800.

The previous prime is 16761351193. The next prime is 16761351203. The reversal of 16761351200 is 215316761.

16761351200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (16761351203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160994 + ... + 243806.

It is an arithmetic number, because the mean of its divisors is an integer number (323471484).

Almost surely, 2^16761351200 is an apocalyptic number.

16761351200 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 16761351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23289946848).

16761351200 is an abundant number, since it is smaller than the sum of its proper divisors (29818542496).

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

16761351200 is a wasteful number, since it uses less digits than its factorization.

16761351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82867 (or 82854 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

Adding to 16761351200 its reverse (215316761), we get a palindrome (16976667961).

The spelling of 16761351200 in words is "sixteen billion, seven hundred sixty-one million, three hundred fifty-one thousand, two hundred".