258961903200 has 3456 divisors, whose sum is σ = 1346538816000. Its totient is φ = 47145369600.

The previous prime is 258961903199. The next prime is 258961903217. The reversal of 258961903200 is 2309169852.

258961903200 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 619 + 0 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×258961903200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 4389184771 + ... + 4389184829.

It is an arithmetic number, because the mean of its divisors is an integer number (389623500).

Almost surely, 2^258961903200 is an apocalyptic number.

258961903200 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 258961903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673269408000).

258961903200 is an abundant number, since it is smaller than the sum of its proper divisors (1087576912800).

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

258961903200 is a wasteful number, since it uses less digits than its factorization.

258961903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 258961903200 in words is "two hundred fifty-eight billion, nine hundred sixty-one million, nine hundred three thousand, two hundred".