535936286471040 has 2304 divisors, whose sum is σ = 2489732691264000. Its totient is φ = 107123812319232.

The previous prime is 535936286471017. The next prime is 535936286471093. The reversal of 535936286471040 is 40174682639535.

535936286471040 is a `hidden beast` number, since 5 + 3 + 59 + 36 + 2 + 86 + 471 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7260103251 + ... + 7260177069.

It is an arithmetic number, because the mean of its divisors is an integer number (1080613147250).

It is a 1-persistent number, because it is pandigital, but 2⋅535936286471040 = 1071872572942080 is not.

Almost surely, 2^{535936286471040} 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 535936286471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244866345632000).

535936286471040 is an abundant number, since it is smaller than the sum of its proper divisors (1953796404792960).

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

535936286471040 is an equidigital number, since it uses as much as digits as its factorization.

535936286471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73901 (or 73868 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 535936286471040 in words is "five hundred thirty-five trillion, nine hundred thirty-six billion, two hundred eighty-six million, four hundred seventy-one thousand, forty".