258362505072 has 240 divisors, whose sum is σ = 893577664512. Its totient is φ = 67997214720.

The previous prime is 258362505061. The next prime is 258362505073. The reversal of 258362505072 is 270505263852.

258362505072 is a `hidden beast` number, since 2 + 5 + 83 + 62 + 5 + 0 + 507 + 2 = 666.

258362505072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258362505073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644997 + ... + 965787.

Almost surely, 2^258362505072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258362505072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446788832256).

258362505072 is an abundant number, since it is smaller than the sum of its proper divisors (635215159440).

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

258362505072 is a wasteful number, since it uses less digits than its factorization.

258362505072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320876 (or 320867 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 258362505072 in words is "two hundred fifty-eight billion, three hundred sixty-two million, five hundred five thousand, seventy-two".