258809085450 has 288 divisors, whose sum is σ = 743737241520. Its totient is φ = 64298188800.

The previous prime is 258809085389. The next prime is 258809085511. The reversal of 258809085450 is 54580908852.

It is a happy number.

258809085450 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 0 + 90 + 8 + 545 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258809085389) and next prime (258809085511).

It can be written as a sum of positive squares in 24 ways, for example, as 3348589689 + 255460495761 = 57867^2 + 505431^2 .

It is a super-2 number, since 2×258809085450² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566321622 + ... + 566322078.

Almost surely, 2^258809085450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258809085450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371868620760).

258809085450 is an abundant number, since it is smaller than the sum of its proper divisors (484928156070).

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

258809085450 is a wasteful number, since it uses less digits than its factorization.

258809085450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 258809085450 in words is "two hundred fifty-eight billion, eight hundred nine million, eighty-five thousand, four hundred fifty".