535535600566764 has 192 divisors, whose sum is σ = 1511523132134400. Its totient is φ = 144160611259392.

The previous prime is 535535600566753. The next prime is 535535600566823. The reversal of 535535600566764 is 467665006535535.

It is a junction number, because it is equal to n+sod(n) for n = 535535600566695 and 535535600566704.

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 63 ways as a sum of consecutive naturals, for example, 750773782 + ... + 751486754.

It is an arithmetic number, because the mean of its divisors is an integer number (7872516313200).

Almost surely, 2^{535535600566764} 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 535535600566764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755761566067200).

535535600566764 is an abundant number, since it is smaller than the sum of its proper divisors (975987531567636).

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

535535600566764 is a wasteful number, since it uses less digits than its factorization.

535535600566764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715592 (or 715590 counting only the distinct ones).

The product of its (nonzero) digits is 1020600000, while the sum is 66.

The spelling of 535535600566764 in words is "five hundred thirty-five trillion, five hundred thirty-five billion, six hundred million, five hundred sixty-six thousand, seven hundred sixty-four".