535355550122120 has 384 divisors, whose sum is σ = 1597856556895200. Its totient is φ = 159455148539904.

The previous prime is 535355550122011. The next prime is 535355550122167. The reversal of 535355550122120 is 21221055553535.

It can be written as a sum of positive squares in 16 ways, for example, as 8774818276 + 535346775303844 = 93674^2 + 23137562^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11146482266 + ... + 11146530294.

Almost surely, 2^{535355550122120} 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 535355550122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798928278447600).

535355550122120 is an abundant number, since it is smaller than the sum of its proper divisors (1062501006773080).

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

535355550122120 is a wasteful number, since it uses less digits than its factorization.

535355550122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73817 (or 73806 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 44.

The spelling of 535355550122120 in words is "five hundred thirty-five trillion, three hundred fifty-five billion, five hundred fifty million, one hundred twenty-two thousand, one hundred twenty".