27752894464 has 117 divisors (see below), whose sum is σ = 59004417297. Its totient is φ = 13050150912.

The previous prime is 27752894459. The next prime is 27752894497. The reversal of 27752894464 is 46449825772.

The square root of 27752894464 is 166592.

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

It can be written as a sum of positive squares in only one way, i.e., 16302182400 + 11450712064 = 127680^2 + 107008^2 .

It is a super-2 number, since 2×27752894464² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (27095040) is a multiple of the sum of its prime factors (336).

It is a junction number, because it is equal to n+sod(n) for n = 27752894399 and 27752894408.

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 8 ways as a sum of consecutive naturals, for example, 202575804 + ... + 202575940.

Almost surely, 2^27752894464 is an apocalyptic number.

27752894464 is the 166592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27752894464

27752894464 is an abundant number, since it is smaller than the sum of its proper divisors (31251522833).

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

27752894464 is an frugal number, since it uses more digits than its factorization.

27752894464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 158 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 58.

The spelling of 27752894464 in words is "twenty-seven billion, seven hundred fifty-two million, eight hundred ninety-four thousand, four hundred sixty-four".