258195620213856 has 144 divisors (see below), whose sum is σ = 790736068152576. Its totient is φ = 79443602454528.

The previous prime is 258195620213833. The next prime is 258195620213873. The reversal of 258195620213856 is 658312026591852.

It is a happy number.

258195620213856 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 9 + 562 + 0 + 2 + 13 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×258195620213856³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 258195620213793 and 258195620213802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264561921 + ... + 265536063.

It is an arithmetic number, because the mean of its divisors is an integer number (5491222695504).

Almost surely, 2^{258195620213856} is an apocalyptic number.

258195620213856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

258195620213856 is an abundant number, since it is smaller than the sum of its proper divisors (532540447938720).

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

258195620213856 is a wasteful number, since it uses less digits than its factorization.

258195620213856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044965 (or 1044954 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 258195620213856 in words is "two hundred fifty-eight trillion, one hundred ninety-five billion, six hundred twenty million, two hundred thirteen thousand, eight hundred fifty-six".