258120031104 has 512 divisors, whose sum is σ = 859541760000. Its totient is φ = 75662180352.

The previous prime is 258120031049. The next prime is 258120031129. The reversal of 258120031104 is 401130021852.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453637732 + ... + 453638300.

It is an arithmetic number, because the mean of its divisors is an integer number (1678792500).

Almost surely, 2^258120031104 is an apocalyptic number.

258120031104 is a gapful number since it is divisible by the number (24) 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 258120031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429770880000).

258120031104 is an abundant number, since it is smaller than the sum of its proper divisors (601421728896).

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

258120031104 is a wasteful number, since it uses less digits than its factorization.

258120031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1049 counting only the distinct ones).

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

Adding to 258120031104 its reverse (401130021852), we get a palindrome (659250052956).

The spelling of 258120031104 in words is "two hundred fifty-eight billion, one hundred twenty million, thirty-one thousand, one hundred four".