258507280152 has 192 divisors, whose sum is σ = 774344188800. Its totient is φ = 77254548480.

The previous prime is 258507280127. The next prime is 258507280169. The reversal of 258507280152 is 251082705852.

258507280152 is a `hidden beast` number, since 2 + 58 + 507 + 2 + 80 + 15 + 2 = 666.

It is a super-2 number, since 2×258507280152² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 258507280098 and 258507280107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40687408 + ... + 40693760.

It is an arithmetic number, because the mean of its divisors is an integer number (4033042650).

Almost surely, 2^258507280152 is an apocalyptic number.

258507280152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258507280152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387172094400).

258507280152 is an abundant number, since it is smaller than the sum of its proper divisors (515836908648).

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

258507280152 is a wasteful number, since it uses less digits than its factorization.

258507280152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 258507280152 in words is "two hundred fifty-eight billion, five hundred seven million, two hundred eighty thousand, one hundred fifty-two".