258444380880 has 480 divisors, whose sum is σ = 1071734976000. Its totient is φ = 55597215744.

The previous prime is 258444380851. The next prime is 258444380939. The reversal of 258444380880 is 88083444852.

258444380880 is a `hidden beast` number, since 258 + 4 + 4 + 4 + 380 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4167541 + ... + 4229099.

It is an arithmetic number, because the mean of its divisors is an integer number (2232781200).

Almost surely, 2^258444380880 is an apocalyptic number.

258444380880 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 258444380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535867488000).

258444380880 is an abundant number, since it is smaller than the sum of its proper divisors (813290595120).

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

258444380880 is a wasteful number, since it uses less digits than its factorization.

258444380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61616 (or 61593 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 258444380880 in words is "two hundred fifty-eight billion, four hundred forty-four million, three hundred eighty thousand, eight hundred eighty".