258152850816 has 256 divisors, whose sum is σ = 819630351360. Its totient is φ = 70389006336.

The previous prime is 258152850811. The next prime is 258152850817. The reversal of 258152850816 is 618058251852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258152850811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28249000 + ... + 28258136.

It is an arithmetic number, because the mean of its divisors is an integer number (3201681060).

Almost surely, 2^258152850816 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 258152850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409815175680).

258152850816 is an abundant number, since it is smaller than the sum of its proper divisors (561477500544).

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

258152850816 is a wasteful number, since it uses less digits than its factorization.

258152850816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 51.

The spelling of 258152850816 in words is "two hundred fifty-eight billion, one hundred fifty-two million, eight hundred fifty thousand, eight hundred sixteen".