1311617525760 has 480 divisors, whose sum is σ = 4816033021800. Its totient is φ = 341224980480.

The previous prime is 1311617525737. The next prime is 1311617525797. The reversal of 1311617525760 is 675257161131.

1311617525760 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 1 + 75 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 814152508416 + 497465017344 = 902304^2 + 705312^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33987756 + ... + 34026324.

Almost surely, 2^{1311617525760} is an apocalyptic number.

1311617525760 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 1311617525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408016510900).

1311617525760 is an abundant number, since it is smaller than the sum of its proper divisors (3504415496040).

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

1311617525760 is an equidigital number, since it uses as much as digits as its factorization.

1311617525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38649 (or 38620 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 1311617525760 in words is "one trillion, three hundred eleven billion, six hundred seventeen million, five hundred twenty-five thousand, seven hundred sixty".