27428147861184 has 1344 divisors, whose sum is σ = 102226818355200. Its totient is φ = 7163077017600.

The previous prime is 27428147861183. The next prime is 27428147861251. The reversal of 27428147861184 is 48116874182472.

27428147861184 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 8 + 1 + 4 + 7 + 8 + 611 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (27428147861183) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22990902892 + ... + 22990904084.

It is an arithmetic number, because the mean of its divisors is an integer number (76061620800).

Almost surely, 2^{27428147861184} is an apocalyptic number.

27428147861184 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 27428147861184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51113409177600).

27428147861184 is an abundant number, since it is smaller than the sum of its proper divisors (74798670494016).

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

27428147861184 is a wasteful number, since it uses less digits than its factorization.

27428147861184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1716 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 27428147861184 in words is "twenty-seven trillion, four hundred twenty-eight billion, one hundred forty-seven million, eight hundred sixty-one thousand, one hundred eighty-four".