258455328768 has 864 divisors, whose sum is σ = 960172012800. Its totient is φ = 68008771584.

The previous prime is 258455328757. The next prime is 258455328773. The reversal of 258455328768 is 867823554852.

258455328768 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 553 + 2 + 8 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 588736293 + ... + 588736731.

It is an arithmetic number, because the mean of its divisors is an integer number (1111310200).

Almost surely, 2^258455328768 is an apocalyptic number.

258455328768 is a gapful number since it is divisible by the number (28) 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 258455328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480086006400).

258455328768 is an abundant number, since it is smaller than the sum of its proper divisors (701716684032).

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

258455328768 is an equidigital number, since it uses as much as digits as its factorization.

258455328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 464 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 258455328768 in words is "two hundred fifty-eight billion, four hundred fifty-five million, three hundred twenty-eight thousand, seven hundred sixty-eight".