1027315207264 has 48 divisors (see below), whose sum is σ = 2078515673136. Its totient is φ = 499455936000.

The previous prime is 1027315207213. The next prime is 1027315207291. The reversal of 1027315207264 is 4627025137201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1583914 + ... + 2136214.

It is an arithmetic number, because the mean of its divisors is an integer number (43302409857).

Almost surely, 2^{1027315207264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027315207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039257836568).

1027315207264 is an abundant number, since it is smaller than the sum of its proper divisors (1051200465872).

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

1027315207264 is a wasteful number, since it uses less digits than its factorization.

1027315207264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553919 (or 553911 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 1027315207264 in words is "one trillion, twenty-seven billion, three hundred fifteen million, two hundred seven thousand, two hundred sixty-four".