1260742717584 has 135 divisors (see below), whose sum is σ = 4104689299347. Its totient is φ = 360185257152.

The previous prime is 1260742717573. The next prime is 1260742717601. The reversal of 1260742717584 is 4857172470621.

The square root of 1260742717584 is 1122828.

It is a perfect power (a square), and thus also a powerful number.

1260742717584 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 7 + 42 + 7 + 17 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1260742717584.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94310869 + ... + 94324235.

Almost surely, 2^{1260742717584} is an apocalyptic number.

1260742717584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1260742717584 is the 1122828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1260742717584

1260742717584 is an abundant number, since it is smaller than the sum of its proper divisors (2843946581763).

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

1260742717584 is an frugal number, since it uses more digits than its factorization.

1260742717584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26762 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 1260742717584 in words is "one trillion, two hundred sixty billion, seven hundred forty-two million, seven hundred seventeen thousand, five hundred eighty-four".