1311254620560 has 240 divisors, whose sum is σ = 4539367961856. Its totient is φ = 339028826112.

The previous prime is 1311254620537. The next prime is 1311254620567. The reversal of 1311254620560 is 650264521131.

1311254620560 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 25 + 4 + 620 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1311254620567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439812 + ... + 3801948.

Almost surely, 2^{1311254620560} is an apocalyptic number.

1311254620560 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 1311254620560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269683980928).

1311254620560 is an abundant number, since it is smaller than the sum of its proper divisors (3228113341296).

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

1311254620560 is a wasteful number, since it uses less digits than its factorization.

1311254620560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362310 (or 362301 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1311254620560 in words is "one trillion, three hundred eleven billion, two hundred fifty-four million, six hundred twenty thousand, five hundred sixty".