27048519001728 has 768 divisors, whose sum is σ = 93763419868800. Its totient is φ = 7653574656000.

The previous prime is 27048519001667. The next prime is 27048519001733. The reversal of 27048519001728 is 82710091584072.

27048519001728 is a `hidden beast` number, since 2 + 7 + 0 + 485 + 1 + 90 + 0 + 1 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15018610428 + ... + 15018612228.

Almost surely, 2^{27048519001728} is an apocalyptic number.

27048519001728 is a gapful number since it is divisible by the number (28) 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 27048519001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46881709934400).

27048519001728 is an abundant number, since it is smaller than the sum of its proper divisors (66714900867072).

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

27048519001728 is a wasteful number, since it uses less digits than its factorization.

27048519001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 27048519001728 in words is "twenty-seven trillion, forty-eight billion, five hundred nineteen million, one thousand, seven hundred twenty-eight".