535525618320 has 1280 divisors, whose sum is σ = 2501325619200. Its totient is φ = 101881774080.

The previous prime is 535525618301. The next prime is 535525618343. The reversal of 535525618320 is 23816525535.

535525618320 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 2 + 5 + 618 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104612721 + ... + 104617839.

It is an arithmetic number, because the mean of its divisors is an integer number (1954160640).

Almost surely, 2^535525618320 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 535525618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250662809600).

535525618320 is an abundant number, since it is smaller than the sum of its proper divisors (1965800000880).

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

535525618320 is a wasteful number, since it uses less digits than its factorization.

535525618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 535525618320 in words is "five hundred thirty-five billion, five hundred twenty-five million, six hundred eighteen thousand, three hundred twenty".