258678900480 has 1152 divisors, whose sum is σ = 1118523893760. Its totient is φ = 49203118080.

The previous prime is 258678900457. The next prime is 258678900481. The reversal of 258678900480 is 84009876852.

It is a self number, because there is not a number n which added to its sum of digits gives 258678900480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258678900481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 664984126 + ... + 664984514.

It is an arithmetic number, because the mean of its divisors is an integer number (970940880).

Almost surely, 2^258678900480 is an apocalyptic number.

258678900480 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 258678900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559261946880).

258678900480 is an abundant number, since it is smaller than the sum of its proper divisors (859844993280).

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

258678900480 is a wasteful number, since it uses less digits than its factorization.

258678900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 258678900480 in words is "two hundred fifty-eight billion, six hundred seventy-eight million, nine hundred thousand, four hundred eighty".