533220981667920 has 2880 divisors, whose sum is σ = 2332983559495680. Its totient is φ = 110812141559808.

The previous prime is 533220981667879. The next prime is 533220981667973. The reversal of 533220981667920 is 29766189022335.

533220981667920 is a `hidden beast` number, since 5 + 332 + 209 + 8 + 1 + 6 + 6 + 7 + 92 + 0 = 666.

It is a super-3 number, since 3×533220981667920³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 542442503749 + ... + 542442504731.

It is an arithmetic number, because the mean of its divisors is an integer number (810063735936).

Almost surely, 2^{533220981667920} 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 533220981667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166491779747840).

533220981667920 is an abundant number, since it is smaller than the sum of its proper divisors (1799762577827760).

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

533220981667920 is a wasteful number, since it uses less digits than its factorization.

533220981667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 533220981667920 in words is "five hundred thirty-three trillion, two hundred twenty billion, nine hundred eighty-one million, six hundred sixty-seven thousand, nine hundred twenty".