258108456960 has 448 divisors, whose sum is σ = 929181181860. Its totient is φ = 68797071360.

The previous prime is 258108456937. The next prime is 258108456971. The reversal of 258108456960 is 69654801852.

258108456960 is a `hidden beast` number, since 2 + 5 + 8 + 10 + 8 + 4 + 569 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258096513024 + 11943936 = 508032^2 + 3456^2 .

It is a super-3 number, since 3×258108456960³ (a number of 35 digits) contains 333 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 = 258108456897 and 258108456906.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119438280 + ... + 119440440.

Almost surely, 2^258108456960 is an apocalyptic number.

258108456960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258108456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464590590930).

258108456960 is an abundant number, since it is smaller than the sum of its proper divisors (671072724900).

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

258108456960 is an frugal number, since it uses more digits than its factorization.

258108456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 258108456960 in words is "two hundred fifty-eight billion, one hundred eight million, four hundred fifty-six thousand, nine hundred sixty".