42872233560 has 256 divisors, whose sum is σ = 141244508160. Its totient is φ = 10346956800.

The previous prime is 42872233529. The next prime is 42872233571. The reversal of 42872233560 is 6533227824.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16857649 + ... + 16860191.

It is an arithmetic number, because the mean of its divisors is an integer number (551736360).

Almost surely, 2^42872233560 is an apocalyptic number.

42872233560 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 42872233560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70622254080).

42872233560 is an abundant number, since it is smaller than the sum of its proper divisors (98372274600).

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

42872233560 is a wasteful number, since it uses less digits than its factorization.

42872233560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 42872233560 in words is "forty-two billion, eight hundred seventy-two million, two hundred thirty-three thousand, five hundred sixty".