258062914752 has 224 divisors, whose sum is σ = 733224441600. Its totient is φ = 79815278592.

The previous prime is 258062914751. The next prime is 258062914799. The reversal of 258062914752 is 257419260852.

258062914752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 258062914695 and 258062914704.

It is not an unprimeable number, because it can be changed into a prime (258062914751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200203324 + ... + 200204612.

It is an arithmetic number, because the mean of its divisors is an integer number (3273323400).

Almost surely, 2^258062914752 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 258062914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612220800).

258062914752 is an abundant number, since it is smaller than the sum of its proper divisors (475161526848).

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

258062914752 is a wasteful number, since it uses less digits than its factorization.

258062914752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 258062914752 in words is "two hundred fifty-eight billion, sixty-two million, nine hundred fourteen thousand, seven hundred fifty-two".