5583511772160 has 1584 divisors, whose sum is σ = 22448292854400. Its totient is φ = 1177714556928.

The previous prime is 5583511772149. The next prime is 5583511772203. The reversal of 5583511772160 is 612771153855.

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, 40169149371 + ... + 40169149509.

Almost surely, 2^{5583511772160} 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 5583511772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224146427200).

5583511772160 is an abundant number, since it is smaller than the sum of its proper divisors (16864781082240).

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

5583511772160 is a wasteful number, since it uses less digits than its factorization.

5583511772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 5583511772160 in words is "five trillion, five hundred eighty-three billion, five hundred eleven million, seven hundred seventy-two thousand, one hundred sixty".