258205569960 has 512 divisors, whose sum is σ = 892584000000. Its totient is φ = 59229978624.

The previous prime is 258205569901. The next prime is 258205569977. The reversal of 258205569960 is 69965502852.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 258205569960.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 739843866 + ... + 739844214.

It is an arithmetic number, because the mean of its divisors is an integer number (1743328125).

Almost surely, 2^258205569960 is an apocalyptic number.

258205569960 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 258205569960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446292000000).

258205569960 is an abundant number, since it is smaller than the sum of its proper divisors (634378430040).

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

258205569960 is a wasteful number, since it uses less digits than its factorization.

258205569960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 258205569960 in words is "two hundred fifty-eight billion, two hundred five million, five hundred sixty-nine thousand, nine hundred sixty".