42533587200 has 864 divisors, whose sum is σ = 163509534720. Its totient is φ = 9650995200.

The previous prime is 42533587193. The next prime is 42533587219. The reversal of 42533587200 is 278533524.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177964681 + ... + 177964919.

Almost surely, 2^42533587200 is an apocalyptic number.

42533587200 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 42533587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81754767360).

42533587200 is an abundant number, since it is smaller than the sum of its proper divisors (120975947520).

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

42533587200 is a wasteful number, since it uses less digits than its factorization.

42533587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 42533587200 in words is "forty-two billion, five hundred thirty-three million, five hundred eighty-seven thousand, two hundred".