1311653166880 has 768 divisors, whose sum is σ = 4117504720896. Its totient is φ = 384190709760.

The previous prime is 1311653166869. The next prime is 1311653166899. The reversal of 1311653166880 is 886613561131.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 719501649 + ... + 719503471.

It is an arithmetic number, because the mean of its divisors is an integer number (5361334272).

Almost surely, 2^{1311653166880} is an apocalyptic number.

1311653166880 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 1311653166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058752360448).

1311653166880 is an abundant number, since it is smaller than the sum of its proper divisors (2805851554016).

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

1311653166880 is a wasteful number, since it uses less digits than its factorization.

1311653166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 1311653166880 in words is "one trillion, three hundred eleven billion, six hundred fifty-three million, one hundred sixty-six thousand, eight hundred eighty".