42585484500 has 288 divisors, whose sum is σ = 153191080224. Its totient is φ = 9865728000.

The previous prime is 42585484499. The next prime is 42585484519. The reversal of 42585484500 is 548458524.

42585484500 is a `hidden beast` number, since 4 + 2 + 58 + 548 + 4 + 50 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 40210676676 + 2374807824 = 200526^2 + 48732^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 973090 + ... + 1015910.

It is an arithmetic number, because the mean of its divisors is an integer number (531913473).

Almost surely, 2^42585484500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42585484500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76595540112).

42585484500 is an abundant number, since it is smaller than the sum of its proper divisors (110605595724).

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

42585484500 is a wasteful number, since it uses less digits than its factorization.

42585484500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42876 (or 42861 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 42585484500 in words is "forty-two billion, five hundred eighty-five million, four hundred eighty-four thousand, five hundred".