258478030488720 has 320 divisors, whose sum is σ = 956673370128384. Its totient is φ = 56446476472320.

The previous prime is 258478030488659. The next prime is 258478030488731. The reversal of 258478030488720 is 27884030874852.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29470660 + ... + 37221980.

Almost surely, 2^{258478030488720} is an apocalyptic number.

258478030488720 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 258478030488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478336685064192).

258478030488720 is an abundant number, since it is smaller than the sum of its proper divisors (698195339639664).

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

258478030488720 is a wasteful number, since it uses less digits than its factorization.

258478030488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752230 (or 7752224 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 66.

The spelling of 258478030488720 in words is "two hundred fifty-eight trillion, four hundred seventy-eight billion, thirty million, four hundred eighty-eight thousand, seven hundred twenty".