42535564200 has 144 divisors (see below), whose sum is σ = 144263562300. Its totient is φ = 11230464000.

The previous prime is 42535564193. The next prime is 42535564213. The reversal of 42535564200 is 246553524.

42535564200 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 5 + 5 + 642 + 0 + 0 = 666.

42535564200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31471469604 + 11064094596 = 177402^2 + 105186^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64816 + ... + 298784.

Almost surely, 2^42535564200 is an apocalyptic number.

42535564200 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 42535564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72131781150).

42535564200 is an abundant number, since it is smaller than the sum of its proper divisors (101727998100).

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

42535564200 is a wasteful number, since it uses less digits than its factorization.

42535564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234092 (or 234080 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

It can be divided in two parts, 425355 and 64200, that added together give a triangular number (489555 = T₉₈₉).

The spelling of 42535564200 in words is "forty-two billion, five hundred thirty-five million, five hundred sixty-four thousand, two hundred".