535338379872 has 108 divisors (see below), whose sum is σ = 1543512982284. Its totient is φ = 176001154560.

The previous prime is 535338379843. The next prime is 535338379949. The reversal of 535338379872 is 278973833535.

It is a happy number.

535338379872 is a `hidden beast` number, since 5 + 3 + 533 + 8 + 3 + 7 + 98 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1360347 + ... + 1709157.

It is an arithmetic number, because the mean of its divisors is an integer number (14291786873).

Almost surely, 2^535338379872 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 535338379872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771756491142).

535338379872 is an abundant number, since it is smaller than the sum of its proper divisors (1008174602412).

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

535338379872 is a wasteful number, since it uses less digits than its factorization.

535338379872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348973 (or 348889 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 535338379872 in words is "five hundred thirty-five billion, three hundred thirty-eight million, three hundred seventy-nine thousand, eight hundred seventy-two".