533118948828480 has 1008 divisors, whose sum is σ = 2204330567362560. Its totient is φ = 117794602598400.

The previous prime is 533118948828421. The next prime is 533118948828517. The reversal of 533118948828480 is 84828849811335.

533118948828480 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 1 + 89 + 48 + 8 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×533118948828480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 533118948828399 and 533118948828408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3985303036 + ... + 3985436804.

It is an arithmetic number, because the mean of its divisors is an integer number (2186835880320).

Almost surely, 2^{533118948828480} 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 533118948828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102165283681280).

533118948828480 is an abundant number, since it is smaller than the sum of its proper divisors (1671211618534080).

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

533118948828480 is a wasteful number, since it uses less digits than its factorization.

533118948828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134748 (or 134728 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 533118948828480 in words is "five hundred thirty-three trillion, one hundred eighteen billion, nine hundred forty-eight million, eight hundred twenty-eight thousand, four hundred eighty".