530056430467200 has 3456 divisors, whose sum is σ = 2460918381143040. Its totient is φ = 107561115648000.

The previous prime is 530056430467159. The next prime is 530056430467297. The reversal of 530056430467200 is 2764034650035.

530056430467200 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 5 + 6 + 430 + 4 + 6 + 7 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 94975168410 + ... + 94975173990.

It is an arithmetic number, because the mean of its divisors is an integer number (712071290840).

Almost surely, 2^{530056430467200} is an apocalyptic number.

530056430467200 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 530056430467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230459190571520).

530056430467200 is an abundant number, since it is smaller than the sum of its proper divisors (1930861950675840).

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

530056430467200 is a wasteful number, since it uses less digits than its factorization.

530056430467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 530056430467200 in words is "five hundred thirty trillion, fifty-six billion, four hundred thirty million, four hundred sixty-seven thousand, two hundred".