530826024960 has 2304 divisors, whose sum is σ = 2511942451200. Its totient is φ = 100329062400.

The previous prime is 530826024919. The next prime is 530826024973. The reversal of 530826024960 is 69420628035.

530826024960 is a `hidden beast` number, since 5 + 30 + 8 + 2 + 602 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4179732417 + ... + 4179732543.

It is an arithmetic number, because the mean of its divisors is an integer number (1090252800).

Almost surely, 2^530826024960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530826024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255971225600).

530826024960 is an abundant number, since it is smaller than the sum of its proper divisors (1981116426240).

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

530826024960 is a wasteful number, since it uses less digits than its factorization.

530826024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 530826024960 in words is "five hundred thirty billion, eight hundred twenty-six million, twenty-four thousand, nine hundred sixty".