27972615144 has 128 divisors (see below), whose sum is σ = 75626496000. Its totient is φ = 8601465600.

The previous prime is 27972615127. The next prime is 27972615149. The reversal of 27972615144 is 44151627972.

It is a junction number, because it is equal to n+sod(n) for n = 27972615093 and 27972615102.

It is not an unprimeable number, because it can be changed into a prime (27972615149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1696299 + ... + 1712709.

It is an arithmetic number, because the mean of its divisors is an integer number (590832000).

Almost surely, 2^27972615144 is an apocalyptic number.

27972615144 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 27972615144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37813248000).

27972615144 is an abundant number, since it is smaller than the sum of its proper divisors (47653880856).

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

27972615144 is a wasteful number, since it uses less digits than its factorization.

27972615144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16559 (or 16555 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 27972615144 in words is "twenty-seven billion, nine hundred seventy-two million, six hundred fifteen thousand, one hundred forty-four".