258556242240 has 448 divisors, whose sum is σ = 970127193600. Its totient is φ = 64600768512.

The previous prime is 258556242229. The next prime is 258556242247. The reversal of 258556242240 is 42242655852.

258556242240 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 562 + 42 + 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 not an unprimeable number, because it can be changed into a prime (258556242247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33631677 + ... + 33639363.

Almost surely, 2^258556242240 is an apocalyptic number.

258556242240 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 258556242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485063596800).

258556242240 is an abundant number, since it is smaller than the sum of its proper divisors (711570951360).

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

258556242240 is a wasteful number, since it uses less digits than its factorization.

258556242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7959 (or 7943 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 258556242240 in words is "two hundred fifty-eight billion, five hundred fifty-six million, two hundred forty-two thousand, two hundred forty".