258740352000 has 1056 divisors, whose sum is σ = 1037854546560. Its totient is φ = 63546163200.

The previous prime is 258740351981. The next prime is 258740352007. The reversal of 258740352000 is 253047852.

258740352000 is a `hidden beast` number, since 2 + 587 + 40 + 35 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258740352007) 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, 584063779 + ... + 584064221.

Almost surely, 2^258740352000 is an apocalyptic number.

258740352000 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 258740352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518927273280).

258740352000 is an abundant number, since it is smaller than the sum of its proper divisors (779114194560).

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

258740352000 is a wasteful number, since it uses less digits than its factorization.

258740352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 258740352000 its reverse (253047852), we get a palindrome (258993399852).

The spelling of 258740352000 in words is "two hundred fifty-eight billion, seven hundred forty million, three hundred fifty-two thousand".