27612127872 has 384 divisors, whose sum is σ = 101219414400. Its totient is φ = 7033651200.

The previous prime is 27612127817. The next prime is 27612127897. The reversal of 27612127872 is 27872121672.

27612127872 is a `hidden beast` number, since 2 + 7 + 612 + 1 + 27 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

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 47 ways as a sum of consecutive naturals, for example, 2599372 + ... + 2609972.

It is an arithmetic number, because the mean of its divisors is an integer number (263592225).

Almost surely, 2^27612127872 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 27612127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50609707200).

27612127872 is an abundant number, since it is smaller than the sum of its proper divisors (73607286528).

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

27612127872 is a wasteful number, since it uses less digits than its factorization.

27612127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 10649 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 27612127872 in words is "twenty-seven billion, six hundred twelve million, one hundred twenty-seven thousand, eight hundred seventy-two".