1265236008960 has 896 divisors, whose sum is σ = 5152387968000. Its totient is φ = 262809845760.

The previous prime is 1265236008913. The next prime is 1265236008961. The reversal of 1265236008960 is 698006325621.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265236008961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463624876 + ... + 463627604.

It is an arithmetic number, because the mean of its divisors is an integer number (5750433000).

Almost surely, 2^{1265236008960} is an apocalyptic number.

1265236008960 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 1265236008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576193984000).

1265236008960 is an abundant number, since it is smaller than the sum of its proper divisors (3887151959040).

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

1265236008960 is an equidigital number, since it uses as much as digits as its factorization.

1265236008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1265236008960 in words is "one trillion, two hundred sixty-five billion, two hundred thirty-six million, eight thousand, nine hundred sixty".