535425907200 has 360 divisors, whose sum is σ = 1878949075872. Its totient is φ = 134378618880.

The previous prime is 535425907153. The next prime is 535425907201. The reversal of 535425907200 is 2709524535.

It is not an unprimeable number, because it can be changed into a prime (535425907201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11073477 + ... + 11121723.

Almost surely, 2^535425907200 is an apocalyptic number.

535425907200 is a gapful number since it is divisible by the number (50) 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 535425907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939474537936).

535425907200 is an abundant number, since it is smaller than the sum of its proper divisors (1343523168672).

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

535425907200 is a wasteful number, since it uses less digits than its factorization.

535425907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48312 (or 48274 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 535425907200 in words is "five hundred thirty-five billion, four hundred twenty-five million, nine hundred seven thousand, two hundred".