258745034880 has 128 divisors (see below), whose sum is σ = 916388726400. Its totient is φ = 68998671360.

The previous prime is 258745034861. The next prime is 258745034987. The reversal of 258745034880 is 88430547852.

258745034880 is a `hidden beast` number, since 2 + 5 + 87 + 450 + 34 + 8 + 80 = 666.

258745034880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×258745034880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7469556 + ... + 7504115.

It is an arithmetic number, because the mean of its divisors is an integer number (7159286925).

Almost surely, 2^258745034880 is an apocalyptic number.

258745034880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258745034880 is an abundant number, since it is smaller than the sum of its proper divisors (657643691520).

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

258745034880 is a wasteful number, since it uses less digits than its factorization.

258745034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973699 (or 14973681 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 258745034880 in words is "two hundred fifty-eight billion, seven hundred forty-five million, thirty-four thousand, eight hundred eighty".