16753687104 has 336 divisors, whose sum is σ = 56507286528. Its totient is φ = 4287360000.

The previous prime is 16753687081. The next prime is 16753687123. The reversal of 16753687104 is 40178635761.

16753687104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11545579 + ... + 11547029.

It is an arithmetic number, because the mean of its divisors is an integer number (168176448).

Almost surely, 2^16753687104 is an apocalyptic number.

16753687104 is a gapful number since it is divisible by the number (14) 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 16753687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28253643264).

16753687104 is an abundant number, since it is smaller than the sum of its proper divisors (39753599424).

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

16753687104 is a wasteful number, since it uses less digits than its factorization.

16753687104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 16753687104 in words is "sixteen billion, seven hundred fifty-three million, six hundred eighty-seven thousand, one hundred four".