258542777560 has 32 divisors (see below), whose sum is σ = 615940148160. Its totient is φ = 97333751296.

The previous prime is 258542777513. The next prime is 258542777639. The reversal of 258542777560 is 65777245852.

258542777560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 258542777495 and 258542777504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190104304 + ... + 190105663.

It is an arithmetic number, because the mean of its divisors is an integer number (19248129630).

Almost surely, 2^258542777560 is an apocalyptic number.

258542777560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258542777560 is an abundant number, since it is smaller than the sum of its proper divisors (357397370600).

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

258542777560 is a wasteful number, since it uses less digits than its factorization.

258542777560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380209995 (or 380209991 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 58.

The spelling of 258542777560 in words is "two hundred fifty-eight billion, five hundred forty-two million, seven hundred seventy-seven thousand, five hundred sixty".