1258399566000 has 480 divisors, whose sum is σ = 4442001408000. Its totient is φ = 332013427200.

The previous prime is 1258399565999. The next prime is 1258399566001. The reversal of 1258399566000 is 6659938521.

It is a happy number.

1258399566000 is a `hidden beast` number, since 1 + 2 + 583 + 9 + 9 + 56 + 6 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1258399565999) and next prime (1258399566001).

It is not an unprimeable number, because it can be changed into a prime (1258399566001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369313541 + ... + 1369314459.

It is an arithmetic number, because the mean of its divisors is an integer number (9254169600).

Almost surely, 2^{1258399566000} is an apocalyptic number.

1258399566000 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 1258399566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221000704000).

1258399566000 is an abundant number, since it is smaller than the sum of its proper divisors (3183601842000).

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

1258399566000 is a wasteful number, since it uses less digits than its factorization.

1258399566000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 1258399566000 in words is "one trillion, two hundred fifty-eight billion, three hundred ninety-nine million, five hundred sixty-six thousand".