535145224320 has 192 divisors, whose sum is σ = 2111912562240. Its totient is φ = 122318899200.

The previous prime is 535145224241. The next prime is 535145224343. The reversal of 535145224320 is 23422541535.

535145224320 is a `hidden beast` number, since 5 + 351 + 45 + 2 + 243 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×535145224320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6595906 + ... + 6676545.

It is an arithmetic number, because the mean of its divisors is an integer number (10999544595).

Almost surely, 2^535145224320 is an apocalyptic number.

It is an amenable number.

535145224320 is an abundant number, since it is smaller than the sum of its proper divisors (1576767337920).

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

535145224320 is a wasteful number, since it uses less digits than its factorization.

535145224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272483 (or 13272468 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 535145224320 its reverse (23422541535), we get a palindrome (558567765855).

The spelling of 535145224320 in words is "five hundred thirty-five billion, one hundred forty-five million, two hundred twenty-four thousand, three hundred twenty".