509377869504 has 168 divisors, whose sum is σ = 1670640560160. Its totient is φ = 145360023552.

The previous prime is 509377869463. The next prime is 509377869521. The reversal of 509377869504 is 405968773905.

509377869504 is a `hidden beast` number, since 50 + 9 + 3 + 7 + 78 + 6 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3266332 + ... + 3418724.

Almost surely, 2^509377869504 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 509377869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835320280080).

509377869504 is an abundant number, since it is smaller than the sum of its proper divisors (1161262690656).

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

509377869504 is a wasteful number, since it uses less digits than its factorization.

509377869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153247 (or 153234 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 509377869504 in words is "five hundred nine billion, three hundred seventy-seven million, eight hundred sixty-nine thousand, five hundred four".