258078080800 has 72 divisors (see below), whose sum is σ = 631014206256. Its totient is φ = 103070480640.

The previous prime is 258078080779. The next prime is 258078080801. The reversal of 258078080800 is 8080870852.

It is a super-2 number, since 2×258078080800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258078080801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263547 + ... + 765253.

It is an arithmetic number, because the mean of its divisors is an integer number (8764086198).

Almost surely, 2^258078080800 is an apocalyptic number.

258078080800 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 258078080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315507103128).

258078080800 is an abundant number, since it is smaller than the sum of its proper divisors (372936125456).

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

258078080800 is a wasteful number, since it uses less digits than its factorization.

258078080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502370 (or 502357 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The spelling of 258078080800 in words is "two hundred fifty-eight billion, seventy-eight million, eighty thousand, eight hundred".