258066864000 has 768 divisors, whose sum is σ = 1045026964800. Its totient is φ = 62548992000.

The previous prime is 258066863939. The next prime is 258066864017. The reversal of 258066864000 is 468660852.

258066864000 is a `hidden beast` number, since 2 + 580 + 6 + 6 + 8 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52269532 + ... + 52274468.

Almost surely, 2^258066864000 is an apocalyptic number.

258066864000 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 258066864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522513482400).

258066864000 is an abundant number, since it is smaller than the sum of its proper divisors (786960100800).

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

258066864000 is a wasteful number, since it uses less digits than its factorization.

258066864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 258066864000 in words is "two hundred fifty-eight billion, sixty-six million, eight hundred sixty-four thousand".