258356550240 has 336 divisors, whose sum is σ = 946701075600. Its totient is φ = 66518516736.

The previous prime is 258356550239. The next prime is 258356550259. The reversal of 258356550240 is 42055653852.

258356550240 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 56 + 550 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3344371 + ... + 3420749.

It is an arithmetic number, because the mean of its divisors is an integer number (2817562725).

Almost surely, 2^258356550240 is an apocalyptic number.

258356550240 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 258356550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473350537800).

258356550240 is an abundant number, since it is smaller than the sum of its proper divisors (688344525360).

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

258356550240 is an equidigital number, since it uses as much as digits as its factorization.

258356550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76441 (or 76418 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 258356550240 in words is "two hundred fifty-eight billion, three hundred fifty-six million, five hundred fifty thousand, two hundred forty".