1258560000 has 600 divisors, whose sum is σ = 4985529120. Its totient is φ = 304128000.

The previous prime is 1258559971. The next prime is 1258560007. The reversal of 1258560000 is 658521.

1258560000 is a `hidden beast` number, since 1 + 2 + 58 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (1258560007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54719989 + ... + 54720011.

Almost surely, 2^1258560000 is an apocalyptic number.

1258560000 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 1258560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492764560).

1258560000 is an abundant number, since it is smaller than the sum of its proper divisors (3726969120).

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

1258560000 is an equidigital number, since it uses as much as digits as its factorization.

1258560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1258560000 is about 35476.1891978268. The cubic root of 1258560000 is about 1079.6706814859.

The spelling of 1258560000 in words is "one billion, two hundred fifty-eight million, five hundred sixty thousand".