1311918688080 has 3840 divisors, whose sum is σ = 6724049633280. Its totient is φ = 226636185600.

The previous prime is 1311918688063. The next prime is 1311918688081. The reversal of 1311918688080 is 808868191131.

It is a happy number.

It is a super-2 number, since 2×1311918688080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311918688081) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35457261822 + ... + 35457261858.

It is an arithmetic number, because the mean of its divisors is an integer number (1751054592).

Almost surely, 2^{1311918688080} is an apocalyptic number.

1311918688080 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 1311918688080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362024816640).

1311918688080 is an abundant number, since it is smaller than the sum of its proper divisors (5412130945200).

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

1311918688080 is a wasteful number, since it uses less digits than its factorization.

1311918688080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 1311918688080 in words is "one trillion, three hundred eleven billion, nine hundred eighteen million, six hundred eighty-eight thousand, eighty".