42813659700 has 504 divisors, whose sum is σ = 162300112128. Its totient is φ = 9595272960.

The previous prime is 42813659689. The next prime is 42813659701. The reversal of 42813659700 is 795631824.

42813659700 is a `hidden beast` number, since 4 + 28 + 1 + 36 + 597 + 0 + 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 not an unprimeable number, because it can be changed into a prime (42813659701) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 27045109 + ... + 27046691.

It is an arithmetic number, because the mean of its divisors is an integer number (322024032).

It is a 2-persistent number, because it is pandigital, and so is 2⋅42813659700 = 85627319400, but 3⋅42813659700 = 128440979100 is not.

Almost surely, 2^42813659700 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 42813659700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81150056064).

42813659700 is an abundant number, since it is smaller than the sum of its proper divisors (119486452428).

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

42813659700 is a wasteful number, since it uses less digits than its factorization.

42813659700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42813659700 in words is "forty-two billion, eight hundred thirteen million, six hundred fifty-nine thousand, seven hundred".