258264417950 has 96 divisors (see below), whose sum is σ = 599051801088. Its totient is φ = 80478288000.

The previous prime is 258264417847. The next prime is 258264417973. The reversal of 258264417950 is 59714462852.

It is a junction number, because it is equal to n+sod(n) for n = 258264417892 and 258264417901.

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 47 ways as a sum of consecutive naturals, for example, 29220932 + ... + 29229768.

It is an arithmetic number, because the mean of its divisors is an integer number (6240122928).

Almost surely, 2^258264417950 is an apocalyptic number.

258264417950 is an abundant number, since it is smaller than the sum of its proper divisors (340787383138).

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

258264417950 is a wasteful number, since it uses less digits than its factorization.

258264417950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16458 (or 16453 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 258264417950 in words is "two hundred fifty-eight billion, two hundred sixty-four million, four hundred seventeen thousand, nine hundred fifty".