258304101120 has 864 divisors, whose sum is σ = 1007957164032. Its totient is φ = 62956486656.

The previous prime is 258304101071. The next prime is 258304101137. The reversal of 258304101120 is 21101403852.

258304101120 is a `hidden beast` number, since 258 + 304 + 101 + 1 + 2 + 0 = 666.

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

It is a super-2 number, since 2×258304101120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 513526789 + ... + 513527291.

It is an arithmetic number, because the mean of its divisors is an integer number (1166617088).

Almost surely, 2^258304101120 is an apocalyptic number.

258304101120 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 258304101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503978582016).

258304101120 is an abundant number, since it is smaller than the sum of its proper divisors (749653062912).

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

258304101120 is a wasteful number, since it uses less digits than its factorization.

258304101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 258304101120 its reverse (21101403852), we get a palindrome (279405504972).

The spelling of 258304101120 in words is "two hundred fifty-eight billion, three hundred four million, one hundred one thousand, one hundred twenty".