1311201597888 has 1120 divisors, whose sum is σ = 5030194932224. Its totient is φ = 328452268032.

The previous prime is 1311201597859. The next prime is 1311201597907. The reversal of 1311201597888 is 8887951021131.

1311201597888 is a `hidden beast` number, since 1 + 31 + 12 + 0 + 1 + 597 + 8 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 750543831 + ... + 750545577.

Almost surely, 2^{1311201597888} is an apocalyptic number.

1311201597888 is a gapful number since it is divisible by the number (18) 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 1311201597888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515097466112).

1311201597888 is an abundant number, since it is smaller than the sum of its proper divisors (3718993334336).

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

1311201597888 is a wasteful number, since it uses less digits than its factorization.

1311201597888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 1311201597888 in words is "one trillion, three hundred eleven billion, two hundred one million, five hundred ninety-seven thousand, eight hundred eighty-eight".