1265908512960 has 2240 divisors, whose sum is σ = 5967962542080. Its totient is φ = 247239475200.

The previous prime is 1265908512959. The next prime is 1265908512983. The reversal of 1265908512960 is 692158095621.

1265908512960 is a `hidden beast` number, since 1 + 2 + 65 + 9 + 0 + 8 + 512 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1265908512897 and 1265908512906.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 2106336660 + ... + 2106337260.

It is an arithmetic number, because the mean of its divisors is an integer number (2664268992).

Almost surely, 2^{1265908512960} is an apocalyptic number.

1265908512960 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 1265908512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983981271040).

1265908512960 is an abundant number, since it is smaller than the sum of its proper divisors (4702054029120).

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

1265908512960 is a wasteful number, since it uses less digits than its factorization.

1265908512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1265908512960 in words is "one trillion, two hundred sixty-five billion, nine hundred eight million, five hundred twelve thousand, nine hundred sixty".