258019249152 has 352 divisors, whose sum is σ = 848460211200. Its totient is φ = 68079255552.

The previous prime is 258019249141. The next prime is 258019249157. The reversal of 258019249152 is 251942910852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (258019249157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14334174 + ... + 14352162.

Almost surely, 2^258019249152 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 258019249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424230105600).

258019249152 is an abundant number, since it is smaller than the sum of its proper divisors (590440962048).

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

258019249152 is a wasteful number, since it uses less digits than its factorization.

258019249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18071 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 258019249152 in words is "two hundred fifty-eight billion, nineteen million, two hundred forty-nine thousand, one hundred fifty-two".