509161611400 has 144 divisors (see below), whose sum is σ = 1282795892460. Its totient is φ = 187861939200.

The previous prime is 509161611389. The next prime is 509161611559. The reversal of 509161611400 is 4116161905.

It can be written as a sum of positive squares in 18 ways, for example, as 183387784644 + 325773826756 = 428238^2 + 570766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54785154 + ... + 54794446.

Almost surely, 2^509161611400 is an apocalyptic number.

509161611400 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 509161611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641397946230).

509161611400 is an abundant number, since it is smaller than the sum of its proper divisors (773634281060).

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

509161611400 is a wasteful number, since it uses less digits than its factorization.

509161611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10956 (or 10934 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 509161611400 in words is "five hundred nine billion, one hundred sixty-one million, six hundred eleven thousand, four hundred".