258091219200 has 432 divisors, whose sum is σ = 884054528000. Its totient is φ = 66239078400.

The previous prime is 258091219193. The next prime is 258091219207. The reversal of 258091219200 is 2912190852.

258091219200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258091219193) and next prime (258091219207).

It is a super-2 number, since 2×258091219200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258091219207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118443711 + ... + 118445889.

Almost surely, 2^258091219200 is an apocalyptic number.

258091219200 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 258091219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442027264000).

258091219200 is an abundant number, since it is smaller than the sum of its proper divisors (625963308800).

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

258091219200 is a wasteful number, since it uses less digits than its factorization.

258091219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 258091219200 in words is "two hundred fifty-eight billion, ninety-one million, two hundred nineteen thousand, two hundred".