258405824355 has 128 divisors (see below), whose sum is σ = 511647252480. Its totient is φ = 108746012160.

The previous prime is 258405824291. The next prime is 258405824359. The reversal of 258405824355 is 553428504852.

It is not a de Polignac number, because 258405824355 - 2⁶ = 258405824291 is a prime.

It is a super-2 number, since 2×258405824355² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258405824298 and 258405824307.

It is not an unprimeable number, because it can be changed into a prime (258405824359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10087894 + ... + 10113476.

It is an arithmetic number, because the mean of its divisors is an integer number (3997244160).

Almost surely, 2^258405824355 is an apocalyptic number.

258405824355 is a deficient number, since it is larger than the sum of its proper divisors (253241428125).

258405824355 is a wasteful number, since it uses less digits than its factorization.

258405824355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761.

The product of its (nonzero) digits is 7680000, while the sum is 51.

The spelling of 258405824355 in words is "two hundred fifty-eight billion, four hundred five million, eight hundred twenty-four thousand, three hundred fifty-five".