27428143030560 has 480 divisors, whose sum is σ = 98186984889840. Its totient is φ = 7209383657472.

The previous prime is 27428143030537. The next prime is 27428143030577. The reversal of 27428143030560 is 6503034182472.

27428143030560 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 81 + 4 + 3 + 0 + 3 + 0 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14078794717584 + 13349348312976 = 3752172^2 + 3653676^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1639548276 + ... + 1639565004.

Almost surely, 2^{27428143030560} is an apocalyptic number.

27428143030560 is a gapful number since it is divisible by the number (20) 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 27428143030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49093492444920).

27428143030560 is an abundant number, since it is smaller than the sum of its proper divisors (70758841859280).

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

27428143030560 is a wasteful number, since it uses less digits than its factorization.

27428143030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18545 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 27428143030560 in words is "twenty-seven trillion, four hundred twenty-eight billion, one hundred forty-three million, thirty thousand, five hundred sixty".