530133811200 has 1008 divisors, whose sum is σ = 2246803695360. Its totient is φ = 120040980480.

The previous prime is 530133811183. The next prime is 530133811301. The reversal of 530133811200 is 2118331035.

530133811200 is a `hidden beast` number, since 5 + 301 + 338 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4954521547 + ... + 4954521653.

It is an arithmetic number, because the mean of its divisors is an integer number (2228971920).

Almost surely, 2^530133811200 is an apocalyptic number.

530133811200 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 530133811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123401847680).

530133811200 is an abundant number, since it is smaller than the sum of its proper divisors (1716669884160).

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

530133811200 is an frugal number, since it uses more digits than its factorization.

530133811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 530133811200 in words is "five hundred thirty billion, one hundred thirty-three million, eight hundred eleven thousand, two hundred".