1295664420960 has 1728 divisors, whose sum is σ = 5739382801152. Its totient is φ = 263656415232.

The previous prime is 1295664420863. The next prime is 1295664420971. The reversal of 1295664420960 is 690244665921.

1295664420960 is a `hidden beast` number, since 1 + 29 + 56 + 64 + 420 + 96 + 0 = 666.

It is a super-2 number, since 2×1295664420960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1295664420897 and 1295664420906.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 4220405127 + ... + 4220405433.

It is an arithmetic number, because the mean of its divisors is an integer number (3321402084).

Almost surely, 2^{1295664420960} is an apocalyptic number.

1295664420960 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 1295664420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869691400576).

1295664420960 is an abundant number, since it is smaller than the sum of its proper divisors (4443718380192).

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

1295664420960 is a wasteful number, since it uses less digits than its factorization.

1295664420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1295664420960 in words is "one trillion, two hundred ninety-five billion, six hundred sixty-four million, four hundred twenty thousand, nine hundred sixty".