258950034000 has 960 divisors, whose sum is σ = 1083783966720. Its totient is φ = 58534617600.

The previous prime is 258950033989. The next prime is 258950034011. The reversal of 258950034000 is 430059852.

It is an interprime number because it is at equal distance from previous prime (258950033989) and next prime (258950034011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350405631 + ... + 350406369.

It is an arithmetic number, because the mean of its divisors is an integer number (1128941632).

Almost surely, 2^258950034000 is an apocalyptic number.

258950034000 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 258950034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541891983360).

258950034000 is an abundant number, since it is smaller than the sum of its proper divisors (824833932720).

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

258950034000 is a wasteful number, since it uses less digits than its factorization.

258950034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 258950034000 in words is "two hundred fifty-eight billion, nine hundred fifty million, thirty-four thousand".