1311795393888 has 192 divisors, whose sum is σ = 4063369605120. Its totient is φ = 362615961600.

The previous prime is 1311795393877. The next prime is 1311795393899. The reversal of 1311795393888 is 8883935971131.

It is an interprime number because it is at equal distance from previous prime (1311795393877) and next prime (1311795393899).

It is a congruent number.

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, 142257118 + ... + 142266338.

It is an arithmetic number, because the mean of its divisors is an integer number (21163383360).

Almost surely, 2^{1311795393888} 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 1311795393888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031684802560).

1311795393888 is an abundant number, since it is smaller than the sum of its proper divisors (2751574211232).

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

1311795393888 is a wasteful number, since it uses less digits than its factorization.

1311795393888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16101 (or 16093 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 1311795393888 in words is "one trillion, three hundred eleven billion, seven hundred ninety-five million, three hundred ninety-three thousand, eight hundred eighty-eight".