1258489086976 has 99 divisors (see below), whose sum is σ = 2766112903407. Its totient is φ = 571861002240.

The previous prime is 1258489086947. The next prime is 1258489087001. The reversal of 1258489086976 is 6796809848521.

The square root of 1258489086976 is 1121824.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1258489086899 and 1258489086908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 394880455 + ... + 394883641.

Almost surely, 2^{1258489086976} is an apocalyptic number.

1258489086976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1258489086976 is the 1121824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258489086976

1258489086976 is an abundant number, since it is smaller than the sum of its proper divisors (1507623816431).

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

1258489086976 is an frugal number, since it uses more digits than its factorization.

1258489086976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 73.

The spelling of 1258489086976 in words is "one trillion, two hundred fifty-eight billion, four hundred eighty-nine million, eighty-six thousand, nine hundred seventy-six".