16277677056 has 165 divisors, whose sum is σ = 48718299091. Its totient is φ = 5413644288.

The previous prime is 16277677037. The next prime is 16277677069. The reversal of 16277677056 is 65077677261.

The square root of 16277677056 is 127584.

It is a perfect power (a square), and thus also a powerful number.

16277677056 is a `hidden beast` number, since 1 + 627 + 7 + 6 + 7 + 7 + 0 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16277676993 and 16277677011.

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 14 ways as a sum of consecutive naturals, for example, 36743971 + ... + 36744413.

Almost surely, 2^16277677056 is an apocalyptic number.

16277677056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16277677056 is the 127584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16277677056

16277677056 is an abundant number, since it is smaller than the sum of its proper divisors (32440622035).

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

16277677056 is an frugal number, since it uses more digits than its factorization.

16277677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 16277677056 in words is "sixteen billion, two hundred seventy-seven million, six hundred seventy-seven thousand, fifty-six".