27781144930560 has 864 divisors, whose sum is σ = 108467743773312. Its totient is φ = 6034607308800.

The previous prime is 27781144930547. The next prime is 27781144930571. The reversal of 27781144930560 is 6503944118772.

It is a self number, because there is not a number n which added to its sum of digits gives 27781144930560.

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, 299316160 + ... + 299408960.

It is an arithmetic number, because the mean of its divisors is an integer number (125541370108).

It is a 1-persistent number, because it is pandigital, but 2⋅27781144930560 = 55562289861120 is not.

Almost surely, 2^{27781144930560} is an apocalyptic number.

27781144930560 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 27781144930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54233871886656).

27781144930560 is an abundant number, since it is smaller than the sum of its proper divisors (80686598842752).

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

27781144930560 is a wasteful number, since it uses less digits than its factorization.

27781144930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92919 (or 92898 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 27781144930560 in words is "twenty-seven trillion, seven hundred eighty-one billion, one hundred forty-four million, nine hundred thirty thousand, five hundred sixty".