535168080216 has 1440 divisors, whose sum is σ = 2068990751520. Its totient is φ = 126374307840.

The previous prime is 535168080127. The next prime is 535168080277. The reversal of 535168080216 is 612080861535.

535168080216 is a `hidden beast` number, since 5 + 351 + 6 + 8 + 0 + 80 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7331069556 + ... + 7331069628.

It is an arithmetic number, because the mean of its divisors is an integer number (1436799133).

Almost surely, 2^535168080216 is an apocalyptic number.

535168080216 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 535168080216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034495375760).

535168080216 is an abundant number, since it is smaller than the sum of its proper divisors (1533822671304).

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

535168080216 is a wasteful number, since it uses less digits than its factorization.

535168080216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 535168080216 in words is "five hundred thirty-five billion, one hundred sixty-eight million, eighty thousand, two hundred sixteen".