258271404960 has 768 divisors, whose sum is σ = 932746752000. Its totient is φ = 59738849280.

The previous prime is 258271404929. The next prime is 258271404977. The reversal of 258271404960 is 69404172852.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 507409186 + ... + 507409694.

It is an arithmetic number, because the mean of its divisors is an integer number (1214514000).

Almost surely, 2^258271404960 is an apocalyptic number.

258271404960 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 258271404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466373376000).

258271404960 is an abundant number, since it is smaller than the sum of its proper divisors (674475347040).

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

258271404960 is a wasteful number, since it uses less digits than its factorization.

258271404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 258271404960 in words is "two hundred fifty-eight billion, two hundred seventy-one million, four hundred four thousand, nine hundred sixty".