535409245872 has 240 divisors, whose sum is σ = 1591143660288. Its totient is φ = 167704542720.

The previous prime is 535409245871. The next prime is 535409245909. The reversal of 535409245872 is 278542904535.

535409245872 is a `hidden beast` number, since 5 + 3 + 54 + 0 + 9 + 2 + 4 + 587 + 2 = 666.

It is a super-3 number, since 3×535409245872³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (535409245871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299612563 + ... + 299614349.

Almost surely, 2^535409245872 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 535409245872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795571830144).

535409245872 is an abundant number, since it is smaller than the sum of its proper divisors (1055734414416).

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

535409245872 is a wasteful number, since it uses less digits than its factorization.

535409245872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 535409245872 in words is "five hundred thirty-five billion, four hundred nine million, two hundred forty-five thousand, eight hundred seventy-two".