168270058391040 has 240 divisors, whose sum is σ = 595165830038208. Its totient is φ = 43917291552768.

The previous prime is 168270058391009. The next prime is 168270058391119. The reversal of 168270058391040 is 40193850072861.

168270058391040 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 7 + 0 + 0 + 583 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×168270058391040² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 76612737 + ... + 78778496.

It is a 1-persistent number, because it is pandigital, but 2⋅168270058391040 = 336540116782080 is not.

Almost surely, 2^{168270058391040} is an apocalyptic number.

168270058391040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168270058391040 is an abundant number, since it is smaller than the sum of its proper divisors (426895771647168).

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

168270058391040 is a wasteful number, since it uses less digits than its factorization.

168270058391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155391309 (or 155391290 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 168270058391040 in words is "one hundred sixty-eight trillion, two hundred seventy billion, fifty-eight million, three hundred ninety-one thousand, forty".