5966022148560 has 320 divisors, whose sum is σ = 20644303680000. Its totient is φ = 1583624355840.

The previous prime is 5966022148531. The next prime is 5966022148631. The reversal of 5966022148560 is 658412206695.

5966022148560 is a `hidden beast` number, since 5 + 9 + 6 + 60 + 2 + 2 + 14 + 8 + 560 = 666.

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 = 5966022148497 and 5966022148506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516577666 + ... + 516589214.

It is an arithmetic number, because the mean of its divisors is an integer number (64513449000).

Almost surely, 2^{5966022148560} 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 5966022148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322151840000).

5966022148560 is an abundant number, since it is smaller than the sum of its proper divisors (14678281531440).

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

5966022148560 is a wasteful number, since it uses less digits than its factorization.

5966022148560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5966022148560 in words is "five trillion, nine hundred sixty-six billion, twenty-two million, one hundred forty-eight thousand, five hundred sixty".