5973819828480 has 1440 divisors, whose sum is σ = 25918922050560. Its totient is φ = 1283316203520.

The previous prime is 5973819828479. The next prime is 5973819828517. The reversal of 5973819828480 is 848289183795.

5973819828480 is a `hidden beast` number, since 5 + 9 + 7 + 38 + 1 + 98 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5973819828480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5973819828399 and 5973819828408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1806414987 + ... + 1806418293.

It is an arithmetic number, because the mean of its divisors is an integer number (17999251424).

Almost surely, 2^{5973819828480} 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 5973819828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959461025280).

5973819828480 is an abundant number, since it is smaller than the sum of its proper divisors (19945102222080).

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

5973819828480 is a wasteful number, since it uses less digits than its factorization.

5973819828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 5973819828480 in words is "five trillion, nine hundred seventy-three billion, eight hundred nineteen million, eight hundred twenty-eight thousand, four hundred eighty".