533927116800 has 2700 divisors, whose sum is σ = 2615503881760. Its totient is φ = 105106636800.

The previous prime is 533927116783. The next prime is 533927116823. The reversal of 533927116800 is 8611729335.

533927116800 is a `hidden beast` number, since 533 + 9 + 27 + 1 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 28101427191 + ... + 28101427209.

Almost surely, 2^533927116800 is an apocalyptic number.

533927116800 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 533927116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307751940880).

533927116800 is an abundant number, since it is smaller than the sum of its proper divisors (2081576764960).

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

533927116800 is a wasteful number, since it uses less digits than its factorization.

533927116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 533927116800 in words is "five hundred thirty-three billion, nine hundred twenty-seven million, one hundred sixteen thousand, eight hundred".