258479261513550 has 144 divisors (see below), whose sum is σ = 865804819980672. Its totient is φ = 53709976411200.

The previous prime is 258479261513527. The next prime is 258479261513587. The reversal of 258479261513550 is 55315162974852.

It is a happy number.

258479261513550 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 7 + 9 + 2 + 61 + 5 + 13 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729824824 + ... + 3729894123.

It is an arithmetic number, because the mean of its divisors is an integer number (6012533472088).

It is a 1-persistent number, because it is pandigital, but 2⋅258479261513550 = 516958523027100 is not.

Almost surely, 2^{258479261513550} is an apocalyptic number.

258479261513550 is an abundant number, since it is smaller than the sum of its proper divisors (607325558467122).

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

258479261513550 is a wasteful number, since it uses less digits than its factorization.

258479261513550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459718983 (or 7459718975 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 258479261513550 in words is "two hundred fifty-eight trillion, four hundred seventy-nine billion, two hundred sixty-one million, five hundred thirteen thousand, five hundred fifty".