258263420480 has 336 divisors, whose sum is σ = 693401370624. Its totient is φ = 91480596480.

The previous prime is 258263420411. The next prime is 258263420507. The reversal of 258263420480 is 84024362852.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212912354 + ... + 212913566.

Almost surely, 2^258263420480 is an apocalyptic number.

258263420480 is a gapful number since it is divisible by the number (20) 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 258263420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346700685312).

258263420480 is an abundant number, since it is smaller than the sum of its proper divisors (435137950144).

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

258263420480 is a wasteful number, since it uses less digits than its factorization.

258263420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 258263420480 in words is "two hundred fifty-eight billion, two hundred sixty-three million, four hundred twenty thousand, four hundred eighty".