27041635104 has 144 divisors (see below), whose sum is σ = 80202376800. Its totient is φ = 7911608320.

The previous prime is 27041635091. The next prime is 27041635129. The reversal of 27041635104 is 40153614072.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 872872 + ... + 903320.

It is an arithmetic number, because the mean of its divisors is an integer number (556960950).

Almost surely, 2^27041635104 is an apocalyptic number.

27041635104 is a gapful number since it is divisible by the number (24) 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 27041635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40101188400).

27041635104 is an abundant number, since it is smaller than the sum of its proper divisors (53160741696).

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

27041635104 is a wasteful number, since it uses less digits than its factorization.

27041635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30531 (or 30494 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 27041635104 in words is "twenty-seven billion, forty-one million, six hundred thirty-five thousand, one hundred four".