258512367672 has 384 divisors, whose sum is σ = 827019648000. Its totient is φ = 74994854400.

The previous prime is 258512367647. The next prime is 258512367697. The reversal of 258512367672 is 276763215852.

258512367672 is a `hidden beast` number, since 2 + 5 + 8 + 512 + 3 + 67 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (258512367647) and next prime (258512367697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109957297 + ... + 109959647.

It is an arithmetic number, because the mean of its divisors is an integer number (2153697000).

Almost surely, 2^258512367672 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 258512367672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413509824000).

258512367672 is an abundant number, since it is smaller than the sum of its proper divisors (568507280328).

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

258512367672 is a wasteful number, since it uses less digits than its factorization.

258512367672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2617 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 258512367672 in words is "two hundred fifty-eight billion, five hundred twelve million, three hundred sixty-seven thousand, six hundred seventy-two".