509483520000 has 2080 divisors, whose sum is σ = 2350064738560. Its totient is φ = 107495424000.

The previous prime is 509483519983. The next prime is 509483520001. The reversal of 509483520000 is 25384905.

509483520000 is a `hidden beast` number, since 50 + 9 + 4 + 83 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (509483520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 39191039994 + ... + 39191040006.

Almost surely, 2^509483520000 is an apocalyptic number.

509483520000 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 509483520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175032369280).

509483520000 is an abundant number, since it is smaller than the sum of its proper divisors (1840581218560).

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

509483520000 is an frugal number, since it uses more digits than its factorization.

509483520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 509483520000 in words is "five hundred nine billion, four hundred eighty-three million, five hundred twenty thousand".