535104105120 has 360 divisors, whose sum is σ = 2044921372956. Its totient is φ = 131717394432.

The previous prime is 535104105017. The next prime is 535104105187. The reversal of 535104105120 is 21501401535.

535104105120 is a `hidden beast` number, since 5 + 35 + 104 + 10 + 512 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2034731664 + 533069373456 = 45108^2 + 730116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2068084 + ... + 2312396.

Almost surely, 2^535104105120 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 535104105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022460686478).

535104105120 is an abundant number, since it is smaller than the sum of its proper divisors (1509817267836).

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

535104105120 is a wasteful number, since it uses less digits than its factorization.

535104105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244366 (or 244336 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 535104105120 its reverse (21501401535), we get a palindrome (556605506655).

The spelling of 535104105120 in words is "five hundred thirty-five billion, one hundred four million, one hundred five thousand, one hundred twenty".