535335224145520 has 40 divisors (see below), whose sum is σ = 1244656419212160. Its totient is φ = 214133741602560.

The previous prime is 535335224145497. The next prime is 535335224145523. The reversal of 535335224145520 is 25541422533535.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×535335224145520³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535335224145523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47259265 + ... + 57481375.

It is an arithmetic number, because the mean of its divisors is an integer number (31116410480304).

Almost surely, 2^{535335224145520} is an apocalyptic number.

It is an amenable number.

535335224145520 is an abundant number, since it is smaller than the sum of its proper divisors (709321195066640).

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

535335224145520 is a wasteful number, since it uses less digits than its factorization.

535335224145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876753 (or 10876747 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 49.

The spelling of 535335224145520 in words is "five hundred thirty-five trillion, three hundred thirty-five billion, two hundred twenty-four million, one hundred forty-five thousand, five hundred twenty".