258664916160 has 1120 divisors, whose sum is σ = 1096549821120. Its totient is φ = 57354780672.

The previous prime is 258664916149. The next prime is 258664916177. The reversal of 258664916160 is 61619466852.

258664916160 is a `hidden beast` number, since 2 + 586 + 6 + 49 + 1 + 6 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 258664916097 and 258664916106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 767551512 + ... + 767551848.

Almost surely, 2^258664916160 is an apocalyptic number.

258664916160 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 258664916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548274910560).

258664916160 is an abundant number, since it is smaller than the sum of its proper divisors (837884904960).

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

258664916160 is an equidigital number, since it uses as much as digits as its factorization.

258664916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 258664916160 in words is "two hundred fifty-eight billion, six hundred sixty-four million, nine hundred sixteen thousand, one hundred sixty".