1027558363968 has 140 divisors (see below), whose sum is σ = 3050205910752. Its totient is φ = 342047059200.

The previous prime is 1027558363967. The next prime is 1027558364017. The reversal of 1027558363968 is 8693638557201.

1027558363968 is a `hidden beast` number, since 10 + 2 + 7 + 5 + 583 + 6 + 39 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027558363967) 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 19 ways as a sum of consecutive naturals, for example, 3632443 + ... + 3905093.

Almost surely, 2^{1027558363968} is an apocalyptic number.

1027558363968 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 1027558363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525102955376).

1027558363968 is an abundant number, since it is smaller than the sum of its proper divisors (2022647546784).

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

1027558363968 is an equidigital number, since it uses as much as digits as its factorization.

1027558363968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273402 (or 273383 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1027558363968 in words is "one trillion, twenty-seven billion, five hundred fifty-eight million, three hundred sixty-three thousand, nine hundred sixty-eight".