1312792958880 has 576 divisors, whose sum is σ = 5175781752960. Its totient is φ = 312002482176.

The previous prime is 1312792958837. The next prime is 1312792958881. The reversal of 1312792958880 is 888592972131.

1312792958880 is a `hidden beast` number, since 1 + 3 + 1 + 27 + 9 + 29 + 588 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1312792958881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14612979 + ... + 14702541.

It is an arithmetic number, because the mean of its divisors is an integer number (8985732210).

Almost surely, 2^{1312792958880} is an apocalyptic number.

1312792958880 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 1312792958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587890876480).

1312792958880 is an abundant number, since it is smaller than the sum of its proper divisors (3862988794080).

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

1312792958880 is a wasteful number, since it uses less digits than its factorization.

1312792958880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89635 (or 89615 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1312792958880 in words is "one trillion, three hundred twelve billion, seven hundred ninety-two million, nine hundred fifty-eight thousand, eight hundred eighty".