27744122948016 has 160 divisors (see below), whose sum is σ = 76201568501760. Its totient is φ = 8673685348608.

The previous prime is 27744122947999. The next prime is 27744122948021. The reversal of 27744122948016 is 61084922144772.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53833345 + ... + 54346271.

It is an arithmetic number, because the mean of its divisors is an integer number (476259803136).

Almost surely, 2^{27744122948016} 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 27744122948016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38100784250880).

27744122948016 is an abundant number, since it is smaller than the sum of its proper divisors (48457445553744).

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

27744122948016 is a wasteful number, since it uses less digits than its factorization.

27744122948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513551 (or 513545 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 27744122948016 in words is "twenty-seven trillion, seven hundred forty-four billion, one hundred twenty-two million, nine hundred forty-eight thousand, sixteen".