42717899847168 has 1920 divisors, whose sum is σ = 168103615680000. Its totient is φ = 10586388234240.

The previous prime is 42717899847157. The next prime is 42717899847221. The reversal of 42717899847168 is 86174899871724.

42717899847168 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 7 + 89 + 9 + 8 + 471 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21917854258 + ... + 21917856206.

It is an arithmetic number, because the mean of its divisors is an integer number (87553966500).

Almost surely, 2^{42717899847168} is an apocalyptic number.

42717899847168 is a gapful number since it is divisible by the number (48) 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 42717899847168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84051807840000).

42717899847168 is an abundant number, since it is smaller than the sum of its proper divisors (125385715832832).

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

42717899847168 is a wasteful number, since it uses less digits than its factorization.

42717899847168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2124 counting only the distinct ones).

The product of its digits is 2731180032, while the sum is 81.

The spelling of 42717899847168 in words is "forty-two trillion, seven hundred seventeen billion, eight hundred ninety-nine million, eight hundred forty-seven thousand, one hundred sixty-eight".