258063039104 has 192 divisors, whose sum is σ = 586467219240. Its totient is φ = 112425172992.

The previous prime is 258063039049. The next prime is 258063039109. The reversal of 258063039104 is 401930360852.

It can be written as a sum of positive squares in 4 ways, for example, as 146137998400 + 111925040704 = 382280^2 + 334552^2 .

It is not an unprimeable number, because it can be changed into a prime (258063039109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212047904 + ... + 212049120.

Almost surely, 2^258063039104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258063039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293233609620).

258063039104 is an abundant number, since it is smaller than the sum of its proper divisors (328404180136).

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

258063039104 is a wasteful number, since it uses less digits than its factorization.

258063039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

Adding to 258063039104 its reverse (401930360852), we get a palindrome (659993399956).

The spelling of 258063039104 in words is "two hundred fifty-eight billion, sixty-three million, thirty-nine thousand, one hundred four".