258008823072 has 1536 divisors, whose sum is σ = 1066460774400. Its totient is φ = 59256852480.

The previous prime is 258008823049. The next prime is 258008823089. The reversal of 258008823072 is 270328800852.

It is a super-3 number, since 3×258008823072³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2031565473 + ... + 2031565599.

It is an arithmetic number, because the mean of its divisors is an integer number (694310400).

Almost surely, 2^258008823072 is an apocalyptic number.

258008823072 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 258008823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533230387200).

258008823072 is an abundant number, since it is smaller than the sum of its proper divisors (808451951328).

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

258008823072 is a wasteful number, since it uses less digits than its factorization.

258008823072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 258008823072 in words is "two hundred fifty-eight billion, eight million, eight hundred twenty-three thousand, seventy-two".