27261591552 has 448 divisors, whose sum is σ = 91744800000. Its totient is φ = 7930773504.

The previous prime is 27261591541. The next prime is 27261591563. The reversal of 27261591552 is 25519516272.

27261591552 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 1 + 5 + 91 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (27261591541) and next prime (27261591563).

It is a junction number, because it is equal to n+sod(n) for n = 27261591498 and 27261591507.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 54632199 + ... + 54632697.

It is an arithmetic number, because the mean of its divisors is an integer number (204787500).

Almost surely, 2^27261591552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27261591552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45872400000).

27261591552 is an abundant number, since it is smaller than the sum of its proper divisors (64483208448).

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

27261591552 is a wasteful number, since it uses less digits than its factorization.

27261591552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 536 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 27261591552 in words is "twenty-seven billion, two hundred sixty-one million, five hundred ninety-one thousand, five hundred fifty-two".