258098480640 has 2880 divisors, whose sum is σ = 1307508314112. Its totient is φ = 45386956800.

The previous prime is 258098480617. The next prime is 258098480669. The reversal of 258098480640 is 46084890852.

258098480640 is a `hidden beast` number, since 25 + 80 + 9 + 8 + 480 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×258098480640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8325757425 + ... + 8325757455.

Almost surely, 2^258098480640 is an apocalyptic number.

258098480640 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 258098480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653754157056).

258098480640 is an abundant number, since it is smaller than the sum of its proper divisors (1049409833472).

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

258098480640 is a wasteful number, since it uses less digits than its factorization.

258098480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 258098480640 in words is "two hundred fifty-eight billion, ninety-eight million, four hundred eighty thousand, six hundred forty".