42854827868160 has 1920 divisors, whose sum is σ = 176432207616000. Its totient is φ = 8804515184640.

The previous prime is 42854827868081. The next prime is 42854827868233. The reversal of 42854827868160 is 6186872845824.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×42854827868160³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104779530036 + ... + 104779530444.

It is an arithmetic number, because the mean of its divisors is an integer number (91891774800).

Almost surely, 2^{42854827868160} is an apocalyptic number.

42854827868160 is a gapful number since it is divisible by the number (40) 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 42854827868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216103808000).

42854827868160 is an abundant number, since it is smaller than the sum of its proper divisors (133577379747840).

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

42854827868160 is a wasteful number, since it uses less digits than its factorization.

42854827868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 69.

The spelling of 42854827868160 in words is "forty-two trillion, eight hundred fifty-four billion, eight hundred twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".