27831381442560 has 1440 divisors, whose sum is σ = 105730227832320. Its totient is φ = 7008977682432.

The previous prime is 27831381442547. The next prime is 27831381442591. The reversal of 27831381442560 is 6524418313872.

27831381442560 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 1 + 38 + 1 + 4 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 27831381442497 and 27831381442506.

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, 40748727979 + ... + 40748728661.

It is an arithmetic number, because the mean of its divisors is an integer number (73423769328).

Almost surely, 2^{27831381442560} is an apocalyptic number.

27831381442560 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 27831381442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52865113916160).

27831381442560 is an abundant number, since it is smaller than the sum of its proper divisors (77898846389760).

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

27831381442560 is an frugal number, since it uses more digits than its factorization.

27831381442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 27831381442560 in words is "twenty-seven trillion, eight hundred thirty-one billion, three hundred eighty-one million, four hundred forty-two thousand, five hundred sixty".