258924273408 has 180 divisors, whose sum is σ = 775393386768. Its totient is φ = 85936066560.

The previous prime is 258924273383. The next prime is 258924273437. The reversal of 258924273408 is 804372429852.

258924273408 is a `hidden beast` number, since 2 + 58 + 9 + 242 + 7 + 340 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4804693 + ... + 4858283.

Almost surely, 2^258924273408 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 258924273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387696693384).

258924273408 is an abundant number, since it is smaller than the sum of its proper divisors (516469113360).

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

258924273408 is an equidigital number, since it uses as much as digits as its factorization.

258924273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53852 (or 53829 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 258924273408 in words is "two hundred fifty-eight billion, nine hundred twenty-four million, two hundred seventy-three thousand, four hundred eight".