5973801604560 has 320 divisors, whose sum is σ = 21187566408960. Its totient is φ = 1546102702080.

The previous prime is 5973801604559. The next prime is 5973801604703. The reversal of 5973801604560 is 654061083795.

5973801604560 is a `hidden beast` number, since 5 + 9 + 7 + 380 + 160 + 45 + 60 = 666.

It is a super-2 number, since 2×5973801604560² (a number of 26 digits) contains 22 as substring.

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 = 5973801604497 and 5973801604506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16917327 + ... + 17266833.

It is an arithmetic number, because the mean of its divisors is an integer number (66211145028).

Almost surely, 2^{5973801604560} 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 5973801604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593783204480).

5973801604560 is an abundant number, since it is smaller than the sum of its proper divisors (15213764804400).

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

5973801604560 is a wasteful number, since it uses less digits than its factorization.

5973801604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349763 (or 349751 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5973801604560 in words is "five trillion, nine hundred seventy-three billion, eight hundred one million, six hundred four thousand, five hundred sixty".