16790578560 has 512 divisors, whose sum is σ = 68559667200. Its totient is φ = 3804143616.

The previous prime is 16790578537. The next prime is 16790578561. The reversal of 16790578560 is 6587509761.

16790578560 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 0 + 5 + 78 + 560 = 666.

16790578560 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 16790578497 and 16790578506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16790578561) 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 63 ways as a sum of consecutive naturals, for example, 15361374 + ... + 15362466.

It is an arithmetic number, because the mean of its divisors is an integer number (133905600).

Almost surely, 2^16790578560 is an apocalyptic number.

16790578560 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 16790578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34279833600).

16790578560 is an abundant number, since it is smaller than the sum of its proper divisors (51769088640).

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

16790578560 is a wasteful number, since it uses less digits than its factorization.

16790578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 16790578560 in words is "sixteen billion, seven hundred ninety million, five hundred seventy-eight thousand, five hundred sixty".