533552382224160 has 768 divisors, whose sum is σ = 2010238242324480. Its totient is φ = 117616824483840.

The previous prime is 533552382224053. The next prime is 533552382224179. The reversal of 533552382224160 is 61422283255335.

It is a super-2 number, since 2×533552382224160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465436971 + ... + 466581909.

It is an arithmetic number, because the mean of its divisors is an integer number (2617497711360).

Almost surely, 2^{533552382224160} 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 533552382224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005119121162240).

533552382224160 is an abundant number, since it is smaller than the sum of its proper divisors (1476685860100320).

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

533552382224160 is a wasteful number, since it uses less digits than its factorization.

533552382224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145201 (or 1145193 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 533552382224160 in words is "five hundred thirty-three trillion, five hundred fifty-two billion, three hundred eighty-two million, two hundred twenty-four thousand, one hundred sixty".