42887854080 has 480 divisors, whose sum is σ = 159113354400. Its totient is φ = 11036196864.

The previous prime is 42887854057. The next prime is 42887854081. The reversal of 42887854080 is 8045878824.

42887854080 is a `hidden beast` number, since 4 + 28 + 8 + 78 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42887854081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24052869 + ... + 24054651.

It is an arithmetic number, because the mean of its divisors is an integer number (331486155).

Almost surely, 2^42887854080 is an apocalyptic number.

42887854080 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 42887854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79556677200).

42887854080 is an abundant number, since it is smaller than the sum of its proper divisors (116225500320).

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

42887854080 is a wasteful number, since it uses less digits than its factorization.

42887854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 42887854080 in words is "forty-two billion, eight hundred eighty-seven million, eight hundred fifty-four thousand, eighty".