533765120000 has 560 divisors, whose sum is σ = 1558753064352. Its totient is φ = 178913280000.

The previous prime is 533765119991. The next prime is 533765120017. The reversal of 533765120000 is 21567335.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×533765120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1899519860 + ... + 1899520140.

Almost surely, 2^533765120000 is an apocalyptic number.

533765120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533765120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779376532176).

533765120000 is an abundant number, since it is smaller than the sum of its proper divisors (1024987944352).

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

533765120000 is an frugal number, since it uses more digits than its factorization.

533765120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

Adding to 533765120000 its reverse (21567335), we get a palindrome (533786687335).

The spelling of 533765120000 in words is "five hundred thirty-three billion, seven hundred sixty-five million, one hundred twenty thousand".