509212609920 has 1152 divisors, whose sum is σ = 2167238268000. Its totient is φ = 109544472576.

The previous prime is 509212609897. The next prime is 509212609931. The reversal of 509212609920 is 29906212905.

509212609920 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 12 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1442528464 + ... + 1442528816.

Almost surely, 2^509212609920 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 509212609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083619134000).

509212609920 is an abundant number, since it is smaller than the sum of its proper divisors (1658025658080).

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

509212609920 is a wasteful number, since it uses less digits than its factorization.

509212609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 509212609920 in words is "five hundred nine billion, two hundred twelve million, six hundred nine thousand, nine hundred twenty".