5604143328000 has 1728 divisors, whose sum is σ = 25329025612800. Its totient is φ = 1213354598400.

The previous prime is 5604143327957. The next prime is 5604143328029. The reversal of 5604143328000 is 8233414065.

5604143328000 is a `hidden beast` number, since 5 + 604 + 1 + 43 + 3 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×5604143328000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 804380517 + ... + 804387483.

Almost surely, 2^{5604143328000} is an apocalyptic number.

5604143328000 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 5604143328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12664512806400).

5604143328000 is an abundant number, since it is smaller than the sum of its proper divisors (19724882284800).

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

5604143328000 is a wasteful number, since it uses less digits than its factorization.

5604143328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5604143328000 in words is "five trillion, six hundred four billion, one hundred forty-three million, three hundred twenty-eight thousand".