16272377856 has 432 divisors, whose sum is σ = 56075619600. Its totient is φ = 4530290688.

The previous prime is 16272377839. The next prime is 16272377887. The reversal of 16272377856 is 65877327261.

It is a happy number.

16272377856 is a `hidden beast` number, since 1 + 627 + 2 + 3 + 7 + 7 + 8 + 5 + 6 = 666.

Its product of digits (5927040) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 38836015 + ... + 38836433.

It is an arithmetic number, because the mean of its divisors is an integer number (129804675).

Almost surely, 2^16272377856 is an apocalyptic number.

16272377856 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 16272377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28037809800).

16272377856 is an abundant number, since it is smaller than the sum of its proper divisors (39803241744).

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

16272377856 is a wasteful number, since it uses less digits than its factorization.

16272377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 474 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 16272377856 in words is "sixteen billion, two hundred seventy-two million, three hundred seventy-seven thousand, eight hundred fifty-six".