535661350560 has 768 divisors, whose sum is σ = 2180902993920. Its totient is φ = 120265482240.

The previous prime is 535661350541. The next prime is 535661350571. The reversal of 535661350560 is 65053166535.

535661350560 is a `hidden beast` number, since 5 + 3 + 56 + 6 + 1 + 35 + 0 + 560 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 951440839 + ... + 951441401.

It is an arithmetic number, because the mean of its divisors is an integer number (2839717440).

Almost surely, 2^535661350560 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 535661350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090451496960).

535661350560 is an abundant number, since it is smaller than the sum of its proper divisors (1645241643360).

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

535661350560 is a wasteful number, since it uses less digits than its factorization.

535661350560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 535661350560 in words is "five hundred thirty-five billion, six hundred sixty-one million, three hundred fifty thousand, five hundred sixty".