258227850960 has 100 divisors (see below), whose sum is σ = 896863604868. Its totient is φ = 68860758528.

The previous prime is 258227850929. The next prime is 258227850967. The reversal of 258227850960 is 69058722852.

It is a happy number.

258227850960 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 2 + 78 + 509 + 60 = 666.

258227850960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 195339248784 + 62888602176 = 441972^2 + 250776^2 .

It is a super-2 number, since 2×258227850960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 258227850897 and 258227850906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258227850967) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 19918509 + ... + 19931468.

Almost surely, 2^258227850960 is an apocalyptic number.

258227850960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258227850960 is an abundant number, since it is smaller than the sum of its proper divisors (638635753908).

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

258227850960 is a wasteful number, since it uses less digits than its factorization.

258227850960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39850002 (or 39849987 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 258227850960 in words is "two hundred fifty-eight billion, two hundred twenty-seven million, eight hundred fifty thousand, nine hundred sixty".