42565590900 has 216 divisors, whose sum is σ = 152707726080. Its totient is φ = 9714712320.

The previous prime is 42565590889. The next prime is 42565590917. The reversal of 42565590900 is 909556524.

It is a happy number.

42565590900 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 559 + 0 + 90 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4525002 + ... + 4534398.

Almost surely, 2^42565590900 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 42565590900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76353863040).

42565590900 is an abundant number, since it is smaller than the sum of its proper divisors (110142135180).

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

42565590900 is a wasteful number, since it uses less digits than its factorization.

42565590900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 42565590900 in words is "forty-two billion, five hundred sixty-five million, five hundred ninety thousand, nine hundred".