1027968205824 has 1320 divisors, whose sum is σ = 3794961139200. Its totient is φ = 275904921600.

The previous prime is 1027968205769. The next prime is 1027968205879. The reversal of 1027968205824 is 4285028697201.

1027968205824 is a `hidden beast` number, since 10 + 27 + 9 + 6 + 8 + 20 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1027968205769) and next prime (1027968205879).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5165669277 + ... + 5165669475.

It is an arithmetic number, because the mean of its divisors is an integer number (2874970560).

Almost surely, 2^{1027968205824} is an apocalyptic number.

1027968205824 is a gapful number since it is divisible by the number (14) 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 1027968205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897480569600).

1027968205824 is an abundant number, since it is smaller than the sum of its proper divisors (2766992933376).

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

1027968205824 is a wasteful number, since it uses less digits than its factorization.

1027968205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1027968205824 in words is "one trillion, twenty-seven billion, nine hundred sixty-eight million, two hundred five thousand, eight hundred twenty-four".