258277485312 has 1296 divisors, whose sum is σ = 993782171200. Its totient is φ = 64377815040.

The previous prime is 258277485311. The next prime is 258277485329. The reversal of 258277485312 is 213584772852.

258277485312 is a `hidden beast` number, since 2 + 5 + 82 + 77 + 485 + 3 + 12 = 666.

Its product of digits (7526400) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258277485311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3538047708 + ... + 3538047780.

Almost surely, 2^258277485312 is an apocalyptic number.

258277485312 is a gapful number since it is divisible by the number (22) 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 258277485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496891085600).

258277485312 is an abundant number, since it is smaller than the sum of its proper divisors (735504685888).

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

258277485312 is a wasteful number, since it uses less digits than its factorization.

258277485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 133 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 258277485312 in words is "two hundred fifty-eight billion, two hundred seventy-seven million, four hundred eighty-five thousand, three hundred twelve".