258051668668320 has 48 divisors (see below), whose sum is σ = 812862756306720. Its totient is φ = 68813778311424.

The previous prime is 258051668668309. The next prime is 258051668668333. The reversal of 258051668668320 is 23866866150852.

It is a happy number.

258051668668320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268803821050 + ... + 268803822009.

It is an arithmetic number, because the mean of its divisors is an integer number (16934640756390).

Almost surely, 2^{258051668668320} is an apocalyptic number.

258051668668320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258051668668320 is an abundant number, since it is smaller than the sum of its proper divisors (554811087638400).

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

258051668668320 is a wasteful number, since it uses less digits than its factorization.

258051668668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537607643077 (or 537607643069 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 66.

The spelling of 258051668668320 in words is "two hundred fifty-eight trillion, fifty-one billion, six hundred sixty-eight million, six hundred sixty-eight thousand, three hundred twenty".