258506751360 has 1024 divisors, whose sum is σ = 999371520000. Its totient is φ = 56013619200.

The previous prime is 258506751317. The next prime is 258506751383. The reversal of 258506751360 is 63157605852.

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

It is a congruent number.

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, 1734944566 + ... + 1734944714.

It is an arithmetic number, because the mean of its divisors is an integer number (975948750).

Almost surely, 2^258506751360 is an apocalyptic number.

258506751360 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 258506751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499685760000).

258506751360 is an abundant number, since it is smaller than the sum of its proper divisors (740864768640).

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

258506751360 is a wasteful number, since it uses less digits than its factorization.

258506751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 258506751360 in words is "two hundred fifty-eight billion, five hundred six million, seven hundred fifty-one thousand, three hundred sixty".