1027115230320 has 240 divisors, whose sum is σ = 3686439276000. Its totient is φ = 255376244736.

The previous prime is 1027115230313. The next prime is 1027115230331. The reversal of 1027115230320 is 230325117201.

1027115230320 is a `hidden beast` number, since 102 + 7 + 1 + 1 + 5 + 230 + 320 = 666.

1027115230320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917556 + ... + 1701804.

It is an arithmetic number, because the mean of its divisors is an integer number (15360163650).

Almost surely, 2^{1027115230320} is an apocalyptic number.

1027115230320 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 1027115230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843219638000).

1027115230320 is an abundant number, since it is smaller than the sum of its proper divisors (2659324045680).

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

1027115230320 is a wasteful number, since it uses less digits than its factorization.

1027115230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784392 (or 784383 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1027115230320 in words is "one trillion, twenty-seven billion, one hundred fifteen million, two hundred thirty thousand, three hundred twenty".