258216806400 has 1152 divisors, whose sum is σ = 1031613972480. Its totient is φ = 55738368000.

The previous prime is 258216806399. The next prime is 258216806401. The reversal of 258216806400 is 4608612852.

It is an interprime number because it is at equal distance from previous prime (258216806399) and next prime (258216806401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (258216806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2033203137 + ... + 2033203263.

It is an arithmetic number, because the mean of its divisors is an integer number (895498240).

Almost surely, 2^258216806400 is an apocalyptic number.

258216806400 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 258216806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515806986240).

258216806400 is an abundant number, since it is smaller than the sum of its proper divisors (773397166080).

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

258216806400 is a wasteful number, since it uses less digits than its factorization.

258216806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 258216806400 in words is "two hundred fifty-eight billion, two hundred sixteen million, eight hundred six thousand, four hundred".