258393323316480 has 864 divisors, whose sum is σ = 968636252666880. Its totient is φ = 58529690419200.

The previous prime is 258393323316433. The next prime is 258393323316607. The reversal of 258393323316480 is 84613323393852.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 417402064 + ... + 418020656.

It is an arithmetic number, because the mean of its divisors is an integer number (1121106773920).

Almost surely, 2^{258393323316480} is an apocalyptic number.

258393323316480 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 258393323316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484318126333440).

258393323316480 is an abundant number, since it is smaller than the sum of its proper divisors (710242929350400).

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

258393323316480 is a wasteful number, since it uses less digits than its factorization.

258393323316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618699 (or 618674 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 258393323316480 in words is "two hundred fifty-eight trillion, three hundred ninety-three billion, three hundred twenty-three million, three hundred sixteen thousand, four hundred eighty".