16079648256 has 480 divisors, whose sum is σ = 56600544000. Its totient is φ = 4461060096.

The previous prime is 16079648227. The next prime is 16079648267. The reversal of 16079648256 is 65284697061.

16079648256 is a `hidden beast` number, since 1 + 607 + 9 + 6 + 4 + 8 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32223495 + ... + 32223993.

It is an arithmetic number, because the mean of its divisors is an integer number (117917800).

Almost surely, 2^16079648256 is an apocalyptic number.

16079648256 is a gapful number since it is divisible by the number (16) 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 16079648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300272000).

16079648256 is an abundant number, since it is smaller than the sum of its proper divisors (40520895744).

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

16079648256 is an frugal number, since it uses more digits than its factorization.

16079648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 16079648256 in words is "sixteen billion, seventy-nine million, six hundred forty-eight thousand, two hundred fifty-six".