1265317186560 has 704 divisors, whose sum is σ = 4881358080000. Its totient is φ = 273484873728.

The previous prime is 1265317186519. The next prime is 1265317186633. The reversal of 1265317186560 is 656817135621.

It is a super-2 number, since 2×1265317186560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220090566 + ... + 220096314.

Almost surely, 2^{1265317186560} is an apocalyptic number.

1265317186560 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 1265317186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440679040000).

1265317186560 is an abundant number, since it is smaller than the sum of its proper divisors (3616040893440).

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

1265317186560 is a wasteful number, since it uses less digits than its factorization.

1265317186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 1265317186560 in words is "one trillion, two hundred sixty-five billion, three hundred seventeen million, one hundred eighty-six thousand, five hundred sixty".