533031240960 has 864 divisors, whose sum is σ = 2122256747520. Its totient is φ = 122624409600.

The previous prime is 533031240919. The next prime is 533031240961. The reversal of 533031240960 is 69042130335.

It is a happy number.

533031240960 is a `hidden beast` number, since 5 + 330 + 312 + 4 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533031240961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115347450 + ... + 115352070.

It is an arithmetic number, because the mean of its divisors is an integer number (2456315680).

Almost surely, 2^533031240960 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 533031240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061128373760).

533031240960 is an abundant number, since it is smaller than the sum of its proper divisors (1589225506560).

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

533031240960 is a wasteful number, since it uses less digits than its factorization.

533031240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 533031240960 in words is "five hundred thirty-three billion, thirty-one million, two hundred forty thousand, nine hundred sixty".