258660864000 has 1872 divisors, whose sum is σ = 1207179881856. Its totient is φ = 53747712000.

The previous prime is 258660863999. The next prime is 258660864023. The reversal of 258660864000 is 468066852.

258660864000 is a `hidden beast` number, since 2 + 586 + 6 + 0 + 8 + 64 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23514623995 + ... + 23514624005.

It is an arithmetic number, because the mean of its divisors is an integer number (644861048).

Almost surely, 2^258660864000 is an apocalyptic number.

258660864000 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 258660864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603589940928).

258660864000 is an abundant number, since it is smaller than the sum of its proper divisors (948519017856).

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

258660864000 is an frugal number, since it uses more digits than its factorization.

258660864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

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

The spelling of 258660864000 in words is "two hundred fifty-eight billion, six hundred sixty million, eight hundred sixty-four thousand".