1027093138848 has 336 divisors, whose sum is σ = 3479483831040. Its totient is φ = 292216232448.

The previous prime is 1027093138843. The next prime is 1027093138861. The reversal of 1027093138848 is 8488313907201.

It is a happy number.

1027093138848 is a `hidden beast` number, since 10 + 270 + 9 + 313 + 8 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 1027093138794 and 1027093138803.

It is not an unprimeable number, because it can be changed into a prime (1027093138843) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 39014586 + ... + 39040902.

It is an arithmetic number, because the mean of its divisors is an integer number (10355606640).

Almost surely, 2^{1027093138848} is an apocalyptic number.

1027093138848 is a gapful number since it is divisible by the number (18) 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 1027093138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739741915520).

1027093138848 is an abundant number, since it is smaller than the sum of its proper divisors (2452390692192).

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

1027093138848 is an equidigital number, since it uses as much as digits as its factorization.

1027093138848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26591 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1027093138848 in words is "one trillion, twenty-seven billion, ninety-three million, one hundred thirty-eight thousand, eight hundred forty-eight".