509990476160 has 128 divisors (see below), whose sum is σ = 1335895338240. Its totient is φ = 184633538560.

The previous prime is 509990476153. The next prime is 509990476169. The reversal of 509990476160 is 61674099905.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 509990476096 and 509990476105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509990476169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1438517 + ... + 1757643.

It is an arithmetic number, because the mean of its divisors is an integer number (10436682330).

Almost surely, 2^509990476160 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 509990476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667947669120).

509990476160 is an abundant number, since it is smaller than the sum of its proper divisors (825904862080).

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

509990476160 is a wasteful number, since it uses less digits than its factorization.

509990476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319384 (or 319372 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 56.

The spelling of 509990476160 in words is "five hundred nine billion, nine hundred ninety million, four hundred seventy-six thousand, one hundred sixty".