535127213040 has 320 divisors, whose sum is σ = 2002748006400. Its totient is φ = 115465761792.

The previous prime is 535127213011. The next prime is 535127213063. The reversal of 535127213040 is 40312721535.

It is a super-2 number, since 2×535127213040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535127212992 and 535127213010.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9003741 + ... + 9062979.

It is an arithmetic number, because the mean of its divisors is an integer number (6258587520).

Almost surely, 2^535127213040 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 535127213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001374003200).

535127213040 is an abundant number, since it is smaller than the sum of its proper divisors (1467620793360).

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

535127213040 is a wasteful number, since it uses less digits than its factorization.

535127213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59564 (or 59558 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 535127213040 its reverse (40312721535), we get a palindrome (575439934575).

The spelling of 535127213040 in words is "five hundred thirty-five billion, one hundred twenty-seven million, two hundred thirteen thousand, forty".