5601816576 has 208 divisors, whose sum is σ = 17056938400. Its totient is φ = 1816805376.

The previous prime is 5601816547. The next prime is 5601816611. The reversal of 5601816576 is 6756181065.

The cubic root of 5601816576 is 1776.

It is a perfect power (a cube), and thus also a powerful number.

5601816576 is a `hidden beast` number, since 5 + 60 + 1 + 8 + 16 + 576 = 666.

It is a super-2 number, since 2×5601816576² = 62760697902296727552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151400430 + ... + 151400466.

Almost surely, 2^5601816576 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 5601816576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528469200).

5601816576 is an abundant number, since it is smaller than the sum of its proper divisors (11455121824).

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

5601816576 is an frugal number, since it uses more digits than its factorization.

5601816576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5601816576 is about 74845.2842602659.

The spelling of 5601816576 in words is "five billion, six hundred one million, eight hundred sixteen thousand, five hundred seventy-six".