535752512000 has 80 divisors (see below), whose sum is σ = 1335932532792. Its totient is φ = 214300979200.

The previous prime is 535752511961. The next prime is 535752512047. The reversal of 535752512000 is 215257535.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61813893376 + 473938618624 = 248624^2 + 688432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×535752512000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4121567 + ... + 4249566.

Almost surely, 2^535752512000 is an apocalyptic number.

535752512000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535752512000 is an abundant number, since it is smaller than the sum of its proper divisors (800180020792).

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

535752512000 is an frugal number, since it uses more digits than its factorization.

535752512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371166 (or 8371140 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 35.

Adding to 535752512000 its reverse (215257535), we get a palindrome (535967769535).

The spelling of 535752512000 in words is "five hundred thirty-five billion, seven hundred fifty-two million, five hundred twelve thousand".