533297160527040 has 2016 divisors, whose sum is σ = 2365675285708800. Its totient is φ = 110124181020672.

The previous prime is 533297160526931. The next prime is 533297160527057. The reversal of 533297160527040 is 40725061792335.

533297160527040 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 9 + 7 + 1 + 605 + 27 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×533297160527040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7846379137 + ... + 7846447103.

Almost surely, 2^{533297160527040} 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 533297160527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182837642854400).

533297160527040 is an abundant number, since it is smaller than the sum of its proper divisors (1832378125181760).

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

533297160527040 is a wasteful number, since it uses less digits than its factorization.

533297160527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68084 (or 68044 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 533297160527040 in words is "five hundred thirty-three trillion, two hundred ninety-seven billion, one hundred sixty million, five hundred twenty-seven thousand, forty".