258486829056 has 171 divisors, whose sum is σ = 749001126783. Its totient is φ = 85901967360.

The previous prime is 258486829001. The next prime is 258486829093. The reversal of 258486829056 is 650928684852.

The square root of 258486829056 is 508416.

It is a perfect power (a square), and thus also a powerful number.

258486829056 is a `hidden beast` number, since 25 + 8 + 486 + 82 + 9 + 0 + 56 = 666.

258486829056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258486829056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258486828984 and 258486829002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 780926811 + ... + 780927141.

Almost surely, 2^258486829056 is an apocalyptic number.

258486829056 is the 508416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258486829056

258486829056 is an abundant number, since it is smaller than the sum of its proper divisors (490514297727).

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

258486829056 is an frugal number, since it uses more digits than its factorization.

258486829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 258486829056 in words is "two hundred fifty-eight billion, four hundred eighty-six million, eight hundred twenty-nine thousand, fifty-six".