5948661700800 has 1512 divisors, whose sum is σ = 26825313278400. Its totient is φ = 1239063920640.

The previous prime is 5948661700733. The next prime is 5948661700829. The reversal of 5948661700800 is 80071668495.

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 215 ways as a sum of consecutive naturals, for example, 724647096 + ... + 724655304.

Almost surely, 2^{5948661700800} is an apocalyptic number.

5948661700800 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 5948661700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412656639200).

5948661700800 is an abundant number, since it is smaller than the sum of its proper divisors (20876651577600).

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

5948661700800 is a wasteful number, since it uses less digits than its factorization.

5948661700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5948661700800 in words is "five trillion, nine hundred forty-eight billion, six hundred sixty-one million, seven hundred thousand, eight hundred".