533538083520 has 840 divisors, whose sum is σ = 2121944204160. Its totient is φ = 127063572480.

The previous prime is 533538083509. The next prime is 533538083537. The reversal of 533538083520 is 25380835335.

533538083520 is a `hidden beast` number, since 5 + 33 + 538 + 0 + 83 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 135792916 + ... + 135796844.

Almost surely, 2^533538083520 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 533538083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060972102080).

533538083520 is an abundant number, since it is smaller than the sum of its proper divisors (1588406120640).

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

533538083520 is a wasteful number, since it uses less digits than its factorization.

533538083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 533538083520 in words is "five hundred thirty-three billion, five hundred thirty-eight million, eighty-three thousand, five hundred twenty".