535800066048 has 468 divisors, whose sum is σ = 1774820310120. Its totient is φ = 155133149184.

The previous prime is 535800066041. The next prime is 535800066097. The reversal of 535800066048 is 840660008535.

535800066048 is a `hidden beast` number, since 5 + 3 + 580 + 0 + 0 + 6 + 60 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a junction number, because it is equal to n+sod(n) for n = 535800065994 and 535800066012.

It is not an unprimeable number, because it can be changed into a prime (535800066041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105907743 + ... + 105912801.

It is an arithmetic number, because the mean of its divisors is an integer number (3792351090).

Almost surely, 2^535800066048 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 535800066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887410155060).

535800066048 is an abundant number, since it is smaller than the sum of its proper divisors (1239020244072).

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

535800066048 is a wasteful number, since it uses less digits than its factorization.

535800066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 535800066048 in words is "five hundred thirty-five billion, eight hundred million, sixty-six thousand, forty-eight".