1027360913152 has 216 divisors, whose sum is σ = 2523933775440. Its totient is φ = 414987632640.

The previous prime is 1027360913083. The next prime is 1027360913177. The reversal of 1027360913152 is 2513190637201.

It is a super-2 number, since 2×1027360913152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46941252 + ... + 46963132.

It is an arithmetic number, because the mean of its divisors is an integer number (11684878590).

Almost surely, 2^{1027360913152} 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 1027360913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261966887720).

1027360913152 is an abundant number, since it is smaller than the sum of its proper divisors (1496572862288).

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

1027360913152 is a wasteful number, since it uses less digits than its factorization.

1027360913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22127 (or 22106 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 1027360913152 in words is "one trillion, twenty-seven billion, three hundred sixty million, nine hundred thirteen thousand, one hundred fifty-two".