42868707088896 has 1920 divisors, whose sum is σ = 152268094218240. Its totient is φ = 11474374754304.

The previous prime is 42868707088871. The next prime is 42868707088931. The reversal of 42868707088896 is 69888070786824.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

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, 92588999961 + ... + 92589000423.

It is an arithmetic number, because the mean of its divisors is an integer number (79306299072).

Almost surely, 2^{42868707088896} is an apocalyptic number.

42868707088896 is a gapful number since it is divisible by the number (46) 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 42868707088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134047109120).

42868707088896 is an abundant number, since it is smaller than the sum of its proper divisors (109399387129344).

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

42868707088896 is a wasteful number, since it uses less digits than its factorization.

42868707088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 42868707088896 in words is "forty-two trillion, eight hundred sixty-eight billion, seven hundred seven million, eighty-eight thousand, eight hundred ninety-six".