5996802979200 has 1152 divisors, whose sum is σ = 22360262601600. Its totient is φ = 1410748416000.

The previous prime is 5996802979187. The next prime is 5996802979207. The reversal of 5996802979200 is 29792086995.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996802979207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10539196516 + ... + 10539197084.

It is an arithmetic number, because the mean of its divisors is an integer number (19409950175).

Almost surely, 2^{5996802979200} is an apocalyptic number.

5996802979200 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 5996802979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180131300800).

5996802979200 is an abundant number, since it is smaller than the sum of its proper divisors (16363459622400).

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

5996802979200 is a wasteful number, since it uses less digits than its factorization.

5996802979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 5996802979200 in words is "five trillion, nine hundred ninety-six billion, eight hundred two million, nine hundred seventy-nine thousand, two hundred".