533744090880 has 1152 divisors, whose sum is σ = 2303902089216. Its totient is φ = 101700403200.

The previous prime is 533744090861. The next prime is 533744090881. The reversal of 533744090880 is 88090447335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533744090881) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 734173077 + ... + 734173803.

It is an arithmetic number, because the mean of its divisors is an integer number (1999915008).

Almost surely, 2^533744090880 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 533744090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151951044608).

533744090880 is an abundant number, since it is smaller than the sum of its proper divisors (1770157998336).

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

533744090880 is a wasteful number, since it uses less digits than its factorization.

533744090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 533744090880 in words is "five hundred thirty-three billion, seven hundred forty-four million, ninety thousand, eight hundred eighty".