258334003200 has 624 divisors, whose sum is σ = 1051338571136. Its totient is φ = 54499737600.

The previous prime is 258334003181. The next prime is 258334003201. The reversal of 258334003200 is 2300433852.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×258334003200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (258334003201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27950580 + ... + 27959820.

Almost surely, 2^258334003200 is an apocalyptic number.

258334003200 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 258334003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525669285568).

258334003200 is an abundant number, since it is smaller than the sum of its proper divisors (793004567936).

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

258334003200 is a wasteful number, since it uses less digits than its factorization.

258334003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 258334003200 in words is "two hundred fifty-eight billion, three hundred thirty-four million, three thousand, two hundred".