258701005711380 has 96 divisors (see below), whose sum is σ = 734813560615680. Its totient is φ = 67992283125760.

The previous prime is 258701005711349. The next prime is 258701005711391. The reversal of 258701005711380 is 83117500107852.

It is a super-3 number, since 3×258701005711380³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328316 + ... + 22865324.

It is an arithmetic number, because the mean of its divisors is an integer number (7654307923080).

Almost surely, 2^{258701005711380} is an apocalyptic number.

258701005711380 is a gapful number since it is divisible by the number (20) 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 258701005711380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367406780307840).

258701005711380 is an abundant number, since it is smaller than the sum of its proper divisors (476112554904300).

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

258701005711380 is a wasteful number, since it uses less digits than its factorization.

258701005711380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20540049 (or 20540047 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 258701005711380 in words is "two hundred fifty-eight trillion, seven hundred one billion, five million, seven hundred eleven thousand, three hundred eighty".