258101066396160 has 480 divisors, whose sum is σ = 965259719424000. Its totient is φ = 63359429935104.

The previous prime is 258101066396057. The next prime is 258101066396191. The reversal of 258101066396160 is 61693660101852.

258101066396160 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 0 + 10 + 6 + 6 + 3 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 258101066396097 and 258101066396106.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108749841 + ... + 111097839.

It is an arithmetic number, because the mean of its divisors is an integer number (2010957748800).

Almost surely, 2^{258101066396160} is an apocalyptic number.

258101066396160 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 258101066396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482629859712000).

258101066396160 is an abundant number, since it is smaller than the sum of its proper divisors (707158653027840).

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

258101066396160 is a wasteful number, since it uses less digits than its factorization.

258101066396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348408 (or 2348389 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 258101066396160 in words is "two hundred fifty-eight trillion, one hundred one billion, sixty-six million, three hundred ninety-six thousand, one hundred sixty".