27741655872 has 224 divisors, whose sum is σ = 93339513600. Its totient is φ = 7914848256.

The previous prime is 27741655801. The next prime is 27741655889. The reversal of 27741655872 is 27855614772.

27741655872 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 16 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 12203728 + ... + 12206000.

Almost surely, 2^27741655872 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 27741655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46669756800).

27741655872 is an abundant number, since it is smaller than the sum of its proper divisors (65597857728).

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

27741655872 is a wasteful number, since it uses less digits than its factorization.

27741655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3294 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 27741655872 in words is "twenty-seven billion, seven hundred forty-one million, six hundred fifty-five thousand, eight hundred seventy-two".