258773532864 has 896 divisors, whose sum is σ = 923779842048. Its totient is φ = 61958307840.

The previous prime is 258773532817. The next prime is 258773532869. The reversal of 258773532864 is 468235377852.

It is a junction number, because it is equal to n+sod(n) for n = 258773532798 and 258773532807.

It is not an unprimeable number, because it can be changed into a prime (258773532869) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1495800682 + ... + 1495800854.

It is an arithmetic number, because the mean of its divisors is an integer number (1031004288).

Almost surely, 2^258773532864 is an apocalyptic number.

258773532864 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 258773532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461889921024).

258773532864 is an abundant number, since it is smaller than the sum of its proper divisors (665006309184).

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

258773532864 is a wasteful number, since it uses less digits than its factorization.

258773532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 258773532864 in words is "two hundred fifty-eight billion, seven hundred seventy-three million, five hundred thirty-two thousand, eight hundred sixty-four".