27113029632 has 378 divisors, whose sum is σ = 89804200122. Its totient is φ = 7851737088.

The previous prime is 27113029577. The next prime is 27113029679. The reversal of 27113029632 is 23692031172.

27113029632 is a `hidden beast` number, since 2 + 7 + 1 + 13 + 0 + 2 + 9 + 632 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 603979776 + 26509049856 = 24576^2 + 162816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1594884088 + ... + 1594884104.

It is an arithmetic number, because the mean of its divisors is an integer number (237577249).

Almost surely, 2^27113029632 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 27113029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44902100061).

27113029632 is an abundant number, since it is smaller than the sum of its proper divisors (62691170490).

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

27113029632 is an frugal number, since it uses more digits than its factorization.

27113029632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27113029632 in words is "twenty-seven billion, one hundred thirteen million, twenty-nine thousand, six hundred thirty-two".