27551989248 has 320 divisors, whose sum is σ = 89603407872. Its totient is φ = 7351787520.

The previous prime is 27551989237. The next prime is 27551989343. The reversal of 27551989248 is 84298915572.

It is a super-2 number, since 2×27551989248² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27551989191 and 27551989200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10632433 + ... + 10635023.

Almost surely, 2^27551989248 is an apocalyptic number.

27551989248 is a gapful number since it is divisible by the number (28) 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 27551989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44801703936).

27551989248 is an abundant number, since it is smaller than the sum of its proper divisors (62051418624).

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

27551989248 is a wasteful number, since it uses less digits than its factorization.

27551989248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2669 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 60.

The spelling of 27551989248 in words is "twenty-seven billion, five hundred fifty-one million, nine hundred eighty-nine thousand, two hundred forty-eight".