16315056576 has 336 divisors, whose sum is σ = 57969912000. Its totient is φ = 4271947776.

The previous prime is 16315056551. The next prime is 16315056577. The reversal of 16315056576 is 67565051361.

16315056576 is a `hidden beast` number, since 1 + 6 + 3 + 15 + 0 + 565 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16315056577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7808940 + ... + 7811028.

It is an arithmetic number, because the mean of its divisors is an integer number (172529500).

Almost surely, 2^16315056576 is an apocalyptic number.

16315056576 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 16315056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984956000).

16315056576 is an abundant number, since it is smaller than the sum of its proper divisors (41654855424).

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

16315056576 is a wasteful number, since it uses less digits than its factorization.

16315056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 16315056576 in words is "sixteen billion, three hundred fifteen million, fifty-six thousand, five hundred seventy-six".