258690761280 has 672 divisors, whose sum is σ = 1048930331904. Its totient is φ = 57295060992.

The previous prime is 258690761261. The next prime is 258690761359. The reversal of 258690761280 is 82167096852.

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

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 95 ways as a sum of consecutive naturals, for example, 88682382 + ... + 88685298.

It is an arithmetic number, because the mean of its divisors is an integer number (1560908232).

Almost surely, 2^258690761280 is an apocalyptic number.

258690761280 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 258690761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524465165952).

258690761280 is an abundant number, since it is smaller than the sum of its proper divisors (790239570624).

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

258690761280 is a wasteful number, since it uses less digits than its factorization.

258690761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 258690761280 in words is "two hundred fifty-eight billion, six hundred ninety million, seven hundred sixty-one thousand, two hundred eighty".