1027035168768 has 952 divisors, whose sum is σ = 3658302758208. Its totient is φ = 282067992576.

The previous prime is 1027035168767. The next prime is 1027035168781. The reversal of 1027035168768 is 8678615307201.

It is a happy number.

1027035168768 is a `hidden beast` number, since 10 + 270 + 351 + 6 + 8 + 7 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1027035168767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12373917655 + ... + 12373917737.

Almost surely, 2^{1027035168768} is an apocalyptic number.

1027035168768 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 1027035168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829151379104).

1027035168768 is an abundant number, since it is smaller than the sum of its proper divisors (2631267589440).

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

1027035168768 is an frugal number, since it uses more digits than its factorization.

1027035168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1027035168768 in words is "one trillion, twenty-seven billion, thirty-five million, one hundred sixty-eight thousand, seven hundred sixty-eight".