1312086958080 has 448 divisors, whose sum is σ = 4438980403200. Its totient is φ = 330006528000.

The previous prime is 1312086958067. The next prime is 1312086958103. The reversal of 1312086958080 is 808596802131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586013601 + ... + 586015839.

It is an arithmetic number, because the mean of its divisors is an integer number (9908438400).

Almost surely, 2^{1312086958080} is an apocalyptic number.

1312086958080 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 1312086958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219490201600).

1312086958080 is an abundant number, since it is smaller than the sum of its proper divisors (3126893445120).

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

1312086958080 is a wasteful number, since it uses less digits than its factorization.

1312086958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 1312086958080 in words is "one trillion, three hundred twelve billion, eighty-six million, nine hundred fifty-eight thousand, eighty".