1296075262464 has 480 divisors, whose sum is σ = 3972714729984. Its totient is φ = 405943296000.

The previous prime is 1296075262463. The next prime is 1296075262553. The reversal of 1296075262464 is 4642625706921.

1296075262464 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 0 + 7 + 5 + 2 + 624 + 6 + 4 = 666.

It is a super-2 number, since 2×1296075262464² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1296075262464.

It is not an unprimeable number, because it can be changed into a prime (1296075262463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207964379 + ... + 2207964965.

Almost surely, 2^{1296075262464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296075262464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986357364992).

1296075262464 is an abundant number, since it is smaller than the sum of its proper divisors (2676639467520).

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

1296075262464 is a wasteful number, since it uses less digits than its factorization.

1296075262464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1296075262464 in words is "one trillion, two hundred ninety-six billion, seventy-five million, two hundred sixty-two thousand, four hundred sixty-four".