535884201216 has 720 divisors, whose sum is σ = 2030320309248. Its totient is φ = 136758067200.

The previous prime is 535884201199. The next prime is 535884201221. The reversal of 535884201216 is 612102488535.

535884201216 is a `hidden beast` number, since 5 + 3 + 5 + 8 + 8 + 420 + 1 + 216 = 666.

It is a super-2 number, since 2×535884201216² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58491676 + ... + 58500836.

Almost surely, 2^535884201216 is an apocalyptic number.

535884201216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535884201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015160154624).

535884201216 is an abundant number, since it is smaller than the sum of its proper divisors (1494436108032).

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

535884201216 is a wasteful number, since it uses less digits than its factorization.

535884201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 535884201216 in words is "five hundred thirty-five billion, eight hundred eighty-four million, two hundred one thousand, two hundred sixteen".