533361100800 has 1152 divisors, whose sum is σ = 2105865216000. Its totient is φ = 117571584000.

The previous prime is 533361100799. The next prime is 533361100823. The reversal of 533361100800 is 8001163335.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890418901 + ... + 890419499.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008000).

Almost surely, 2^533361100800 is an apocalyptic number.

533361100800 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 533361100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052932608000).

533361100800 is an abundant number, since it is smaller than the sum of its proper divisors (1572504115200).

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

533361100800 is a wasteful number, since it uses less digits than its factorization.

533361100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 533361100800 in words is "five hundred thirty-three billion, three hundred sixty-one million, one hundred thousand, eight hundred".