535365891984 has 480 divisors, whose sum is σ = 1790445404160. Its totient is φ = 134833628160.

The previous prime is 535365891959. The next prime is 535365892001. The reversal of 535365891984 is 489198563535.

535365891984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720545917 + ... + 720546659.

It is an arithmetic number, because the mean of its divisors is an integer number (3730094592).

Almost surely, 2^535365891984 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 535365891984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895222702080).

535365891984 is an abundant number, since it is smaller than the sum of its proper divisors (1255079512176).

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

535365891984 is a wasteful number, since it uses less digits than its factorization.

535365891984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1282 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 66.

The spelling of 535365891984 in words is "five hundred thirty-five billion, three hundred sixty-five million, eight hundred ninety-one thousand, nine hundred eighty-four".