5966269824000 has 704 divisors, whose sum is σ = 20129871790080. Its totient is φ = 1568427212800.

The previous prime is 5966269823999. The next prime is 5966269824001. The reversal of 5966269824000 is 4289626695.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5966269823999) and next prime (5966269824001).

It is a super-2 number, since 2×5966269824000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5966269824001) by changing a digit.

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, 15577727809 + ... + 15577728191.

Almost surely, 2^{5966269824000} is an apocalyptic number.

5966269824000 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 5966269824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064935895040).

5966269824000 is an abundant number, since it is smaller than the sum of its proper divisors (14163601966080).

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

5966269824000 is a wasteful number, since it uses less digits than its factorization.

5966269824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 5966269824000 in words is "five trillion, nine hundred sixty-six billion, two hundred sixty-nine million, eight hundred twenty-four thousand".