530929146000 has 640 divisors, whose sum is σ = 1904638095360. Its totient is φ = 126162432000.

The previous prime is 530929145939. The next prime is 530929146001. The reversal of 530929146000 is 641929035.

It is a self number, because there is not a number n which added to its sum of digits gives 530929146000.

It is not an unprimeable number, because it can be changed into a prime (530929146001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1267133791 + ... + 1267134209.

It is an arithmetic number, because the mean of its divisors is an integer number (2975997024).

Almost surely, 2^530929146000 is an apocalyptic number.

530929146000 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 530929146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952319047680).

530929146000 is an abundant number, since it is smaller than the sum of its proper divisors (1373708949360).

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

530929146000 is a wasteful number, since it uses less digits than its factorization.

530929146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 530929146000 in words is "five hundred thirty billion, nine hundred twenty-nine million, one hundred forty-six thousand".