16780593120 has 96 divisors (see below), whose sum is σ = 52947730080. Its totient is φ = 4467302400.

The previous prime is 16780593113. The next prime is 16780593139. The reversal of 16780593120 is 2139508761.

16780593120 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 (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 259396 + ... + 317564.

It is an arithmetic number, because the mean of its divisors is an integer number (551538855).

Almost surely, 2^16780593120 is an apocalyptic number.

16780593120 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 16780593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473865040).

16780593120 is an abundant number, since it is smaller than the sum of its proper divisors (36167136960).

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

16780593120 is a wasteful number, since it uses less digits than its factorization.

16780593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58788 (or 58780 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 16780593120 in words is "sixteen billion, seven hundred eighty million, five hundred ninety-three thousand, one hundred twenty".