258300100800 has 672 divisors, whose sum is σ = 1085780505600. Its totient is φ = 58509803520.

The previous prime is 258300100777. The next prime is 258300100813. The reversal of 258300100800 is 8001003852.

It is a happy number.

258300100800 is a `hidden beast` number, since 2 + 583 + 0 + 0 + 1 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34167421 + ... + 34174979.

It is an arithmetic number, because the mean of its divisors is an integer number (1615744800).

Almost surely, 2^258300100800 is an apocalyptic number.

258300100800 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 258300100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542890252800).

258300100800 is an abundant number, since it is smaller than the sum of its proper divisors (827480404800).

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

258300100800 is a wasteful number, since it uses less digits than its factorization.

258300100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710 (or 7689 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 258300100800 in words is "two hundred fifty-eight billion, three hundred million, one hundred thousand, eight hundred".