5409931161600 has 3744 divisors, whose sum is σ = 25635457886400. Its totient is φ = 1123685498880.

The previous prime is 5409931161587. The next prime is 5409931161611. The reversal of 5409931161600 is 61611399045.

5409931161600 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 9 + 31 + 1 + 6 + 1 + 600 = 666.

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 287 ways as a sum of consecutive naturals, for example, 186549350386 + ... + 186549350414.

Almost surely, 2^{5409931161600} is an apocalyptic number.

5409931161600 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 5409931161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817728943200).

5409931161600 is an abundant number, since it is smaller than the sum of its proper divisors (20225526724800).

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

5409931161600 is an equidigital number, since it uses as much as digits as its factorization.

5409931161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

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

The spelling of 5409931161600 in words is "five trillion, four hundred nine billion, nine hundred thirty-one million, one hundred sixty-one thousand, six hundred".