5604419842560 has 1920 divisors, whose sum is σ = 25877768716800. Its totient is φ = 1124057088000.

The previous prime is 5604419842519. The next prime is 5604419842577. The reversal of 5604419842560 is 652489144065.

It is a happy number.

5604419842560 is a `hidden beast` number, since 5 + 60 + 4 + 4 + 19 + 8 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5604419842497 and 5604419842506.

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, 1697792910 + ... + 1697796210.

It is an arithmetic number, because the mean of its divisors is an integer number (13478004540).

Almost surely, 2^{5604419842560} 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 5604419842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938884358400).

5604419842560 is an abundant number, since it is smaller than the sum of its proper divisors (20273348874240).

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

5604419842560 is a wasteful number, since it uses less digits than its factorization.

5604419842560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5604419842560 in words is "five trillion, six hundred four billion, four hundred nineteen million, eight hundred forty-two thousand, five hundred sixty".