258394341703680 has 8160 divisors, whose sum is σ = 1312169271114240. Its totient is φ = 47943914618880.

The previous prime is 258394341703657. The next prime is 258394341703733. The reversal of 258394341703680 is 86307143493852.

It is a happy number.

258394341703680 is a `hidden beast` number, since 2 + 5 + 83 + 9 + 434 + 17 + 0 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (8160).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 479 ways as a sum of consecutive naturals, for example, 8335301345265 + ... + 8335301345295.

It is a 1-persistent number, because it is pandigital, but 2⋅258394341703680 = 516788683407360 is not.

Almost surely, 2^{258394341703680} is an apocalyptic number.

258394341703680 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 258394341703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656084635557120).

258394341703680 is an abundant number, since it is smaller than the sum of its proper divisors (1053774929410560).

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

258394341703680 is a wasteful number, since it uses less digits than its factorization.

258394341703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 258394341703680 in words is "two hundred fifty-eight trillion, three hundred ninety-four billion, three hundred forty-one million, seven hundred three thousand, six hundred eighty".