258214414520 has 32 divisors (see below), whose sum is σ = 596684664000. Its totient is φ = 100494258048.

The previous prime is 258214414463. The next prime is 258214414543. The reversal of 258214414520 is 25414412852.

It is a happy number.

258214414520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 87233120 + ... + 87236079.

It is an arithmetic number, because the mean of its divisors is an integer number (18646395750).

Almost surely, 2^258214414520 is an apocalyptic number.

258214414520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258214414520 is an abundant number, since it is smaller than the sum of its proper divisors (338470249480).

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

258214414520 is a wasteful number, since it uses less digits than its factorization.

258214414520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174469247 (or 174469243 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The spelling of 258214414520 in words is "two hundred fifty-eight billion, two hundred fourteen million, four hundred fourteen thousand, five hundred twenty".