1027417795960 has 64 divisors (see below), whose sum is σ = 2435747760000. Its totient is φ = 388954899072.

The previous prime is 1027417795927. The next prime is 1027417795967. The reversal of 1027417795960 is 695977147201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1027417795895 and 1027417795904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027417795967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111111 + ... + 1437769.

It is an arithmetic number, because the mean of its divisors is an integer number (38058558750).

Almost surely, 2^{1027417795960} is an apocalyptic number.

1027417795960 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 1027417795960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217873880000).

1027417795960 is an abundant number, since it is smaller than the sum of its proper divisors (1408329964040).

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

1027417795960 is a wasteful number, since it uses less digits than its factorization.

1027417795960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327708 (or 1327704 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 58.

The spelling of 1027417795960 in words is "one trillion, twenty-seven billion, four hundred seventeen million, seven hundred ninety-five thousand, nine hundred sixty".