535939597440 has 640 divisors, whose sum is σ = 2095113247920. Its totient is φ = 129750958080.

The previous prime is 535939597439. The next prime is 535939597447. The reversal of 535939597440 is 44795939535.

535939597440 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 39 + 597 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49081743936 + 486857853504 = 221544^2 + 697752^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (535939597447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41102602 + ... + 41115638.

Almost surely, 2^535939597440 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 535939597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047556623960).

535939597440 is an abundant number, since it is smaller than the sum of its proper divisors (1559173650480).

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

535939597440 is a wasteful number, since it uses less digits than its factorization.

535939597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 535939597440 in words is "five hundred thirty-five billion, nine hundred thirty-nine million, five hundred ninety-seven thousand, four hundred forty".