258435555840 has 2880 divisors, whose sum is σ = 1283700337920. Its totient is φ = 46714060800.

The previous prime is 258435555827. The next prime is 258435555887. The reversal of 258435555840 is 48555534852.

258435555840 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 3 + 5 + 55 + 584 + 0 = 666.

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

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, 6303306220 + ... + 6303306260.

It is an arithmetic number, because the mean of its divisors is an integer number (445729284).

Almost surely, 2^258435555840 is an apocalyptic number.

258435555840 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 258435555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641850168960).

258435555840 is an abundant number, since it is smaller than the sum of its proper divisors (1025264782080).

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

258435555840 is a wasteful number, since it uses less digits than its factorization.

258435555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 19200000, while the sum is 54.

The spelling of 258435555840 in words is "two hundred fifty-eight billion, four hundred thirty-five million, five hundred fifty-five thousand, eight hundred forty".