168553970785872 has 320 divisors, whose sum is σ = 585945972057600. Its totient is φ = 45363557191680.

The previous prime is 168553970785807. The next prime is 168553970785877. The reversal of 168553970785872 is 278587079355861.

168553970785872 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 539 + 7 + 0 + 7 + 8 + 5 + 8 + 72 = 666.

It is a hoax number, since the sum of its digits (81) 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 = 168553970785791 and 168553970785800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168553970785877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19843803 + ... + 27034874.

It is an arithmetic number, because the mean of its divisors is an integer number (1831081162680).

Almost surely, 2^{168553970785872} is an apocalyptic number.

168553970785872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168553970785872 is an abundant number, since it is smaller than the sum of its proper divisors (417392001271728).

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

168553970785872 is a wasteful number, since it uses less digits than its factorization.

168553970785872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46878771 (or 46878759 counting only the distinct ones).

The product of its (nonzero) digits is 7112448000, while the sum is 81.

The spelling of 168553970785872 in words is "one hundred sixty-eight trillion, five hundred fifty-three billion, nine hundred seventy million, seven hundred eighty-five thousand, eight hundred seventy-two".