258283468800 has 2160 divisors, whose sum is σ = 1176725309760. Its totient is φ = 55738368000.

The previous prime is 258283468799. The next prime is 258283468811. The reversal of 258283468800 is 8864382852.

258283468800 is a `hidden beast` number, since 25 + 8 + 2 + 83 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6299596780 + ... + 6299596820.

It is an arithmetic number, because the mean of its divisors is an integer number (544780236).

Almost surely, 2^258283468800 is an apocalyptic number.

258283468800 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 258283468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588362654880).

258283468800 is an abundant number, since it is smaller than the sum of its proper divisors (918441840960).

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

258283468800 is a wasteful number, since it uses less digits than its factorization.

258283468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 258283468800 in words is "two hundred fifty-eight billion, two hundred eighty-three million, four hundred sixty-eight thousand, eight hundred".