1027027330560 has 1680 divisors, whose sum is σ = 4689796990032. Its totient is φ = 213199257600.

The previous prime is 1027027330541. The next prime is 1027027330583. The reversal of 1027027330560 is 650337207201.

1027027330560 is a `hidden beast` number, since 1 + 0 + 2 + 70 + 27 + 3 + 3 + 0 + 560 = 666.

1027027330560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1005902850 + ... + 1005903870.

Almost surely, 2^{1027027330560} is an apocalyptic number.

1027027330560 is a gapful number since it is divisible by the number (10) 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 1027027330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344898495016).

1027027330560 is an abundant number, since it is smaller than the sum of its proper divisors (3662769659472).

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

1027027330560 is an equidigital number, since it uses as much as digits as its factorization.

1027027330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 1027027330560 in words is "one trillion, twenty-seven billion, twenty-seven million, three hundred thirty thousand, five hundred sixty".