258412032000 has 1248 divisors, whose sum is σ = 1012096210944. Its totient is φ = 65691648000.

The previous prime is 258412031987. The next prime is 258412032007. The reversal of 258412032000 is 230214852.

258412032000 is a `hidden beast` number, since 258 + 4 + 1 + 203 + 200 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (258412032007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3856895967 + ... + 3856896033.

It is an arithmetic number, because the mean of its divisors is an integer number (810974528).

Almost surely, 2^258412032000 is an apocalyptic number.

258412032000 is a gapful number since it is divisible by the number (20) 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 258412032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506048105472).

258412032000 is an abundant number, since it is smaller than the sum of its proper divisors (753684178944).

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

258412032000 is an frugal number, since it uses more digits than its factorization.

258412032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 258412032000 its reverse (230214852), we get a palindrome (258642246852).

The spelling of 258412032000 in words is "two hundred fifty-eight billion, four hundred twelve million, thirty-two thousand".