258098202442080 has 2304 divisors, whose sum is σ = 1248423916723200. Its totient is φ = 48948598702080.

The previous prime is 258098202442061. The next prime is 258098202442111. The reversal of 258098202442080 is 80244202890852.

258098202442080 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 9 + 8 + 202 + 4 + 420 + 8 + 0 = 666.

It is a super-2 number, since 2×258098202442080² (a number of 30 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 2694003459 + ... + 2694099261.

It is an arithmetic number, because the mean of its divisors is an integer number (541850658300).

Almost surely, 2^{258098202442080} is an apocalyptic number.

258098202442080 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 258098202442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624211958361600).

258098202442080 is an abundant number, since it is smaller than the sum of its proper divisors (990325714281120).

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

258098202442080 is a wasteful number, since it uses less digits than its factorization.

258098202442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95954 (or 95933 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 258098202442080 in words is "two hundred fifty-eight trillion, ninety-eight billion, two hundred two million, four hundred forty-two thousand, eighty".