258382124672 has 128 divisors (see below), whose sum is σ = 594408672000. Its totient is φ = 109584285696.

The previous prime is 258382124659. The next prime is 258382124677. The reversal of 258382124672 is 276421283852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×258382124672² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258382124672.

It is not an unprimeable number, because it can be changed into a prime (258382124677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152257328 + ... + 152259024.

It is an arithmetic number, because the mean of its divisors is an integer number (4643817750).

Almost surely, 2^258382124672 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 258382124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297204336000).

258382124672 is an abundant number, since it is smaller than the sum of its proper divisors (336026547328).

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

258382124672 is a wasteful number, since it uses less digits than its factorization.

258382124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3374 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 258382124672 in words is "two hundred fifty-eight billion, three hundred eighty-two million, one hundred twenty-four thousand, six hundred seventy-two".