258824707428852 has 72 divisors (see below), whose sum is σ = 659333430592200. Its totient is φ = 85605952373760.

The previous prime is 258824707428823. The next prime is 258824707428883.

258824707428852 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 2 + 470 + 74 + 2 + 8 + 85 + 2 = 666.

258824707428852 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6276798665316 + 252547908763536 = 2505354^2 + 15891756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20204049 + ... + 30427832.

It is an arithmetic number, because the mean of its divisors is an integer number (9157408758225).

Almost surely, 2^{258824707428852} is an apocalyptic number.

It is an amenable number.

258824707428852 is an abundant number, since it is smaller than the sum of its proper divisors (400508723163348).

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

258824707428852 is a wasteful number, since it uses less digits than its factorization.

258824707428852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50632993 (or 50632988 counting only the distinct ones).

The product of its (nonzero) digits is 1284505600, while the sum is 72.

The spelling of 258824707428852 in words is "two hundred fifty-eight trillion, eight hundred twenty-four billion, seven hundred seven million, four hundred twenty-eight thousand, eight hundred fifty-two".