16765602120672 has 192 divisors, whose sum is σ = 45406579276800. Its totient is φ = 5414383779840.

The previous prime is 16765602120661. The next prime is 16765602120767. The reversal of 16765602120672 is 27602120656761.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 131244672 + ... + 131372352.

It is an arithmetic number, because the mean of its divisors is an integer number (236492600400).

Almost surely, 2^{16765602120672} is an apocalyptic number.

16765602120672 is a gapful number since it is divisible by the number (12) 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 16765602120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703289638400).

16765602120672 is an abundant number, since it is smaller than the sum of its proper divisors (28640977156128).

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

16765602120672 is a wasteful number, since it uses less digits than its factorization.

16765602120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128089 (or 128081 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 16765602120672 in words is "sixteen trillion, seven hundred sixty-five billion, six hundred two million, one hundred twenty thousand, six hundred seventy-two".