258416601210 has 160 divisors (see below), whose sum is σ = 703832861952. Its totient is φ = 68024707200.

The previous prime is 258416601203. The next prime is 258416601251. The reversal of 258416601210 is 12106614852.

It is a happy number.

258416601210 is a `hidden beast` number, since 2 + 5 + 8 + 41 + 6 + 601 + 2 + 1 + 0 = 666.

258416601210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 28383519 + ... + 28392621.

Almost surely, 2^258416601210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258416601210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351916430976).

258416601210 is an abundant number, since it is smaller than the sum of its proper divisors (445416260742).

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

258416601210 is a wasteful number, since it uses less digits than its factorization.

258416601210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 258416601210 in words is "two hundred fifty-eight billion, four hundred sixteen million, six hundred one thousand, two hundred ten".