5560954291200 has 2112 divisors, whose sum is σ = 24702784634880. Its totient is φ = 1068318720000.

The previous prime is 5560954291183. The next prime is 5560954291229. The reversal of 5560954291200 is 21924590655.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5560954291200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4831410625 + ... + 4831411775.

It is an arithmetic number, because the mean of its divisors is an integer number (11696394240).

Almost surely, 2^{5560954291200} is an apocalyptic number.

5560954291200 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 5560954291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351392317440).

5560954291200 is an abundant number, since it is smaller than the sum of its proper divisors (19141830343680).

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

5560954291200 is a wasteful number, since it uses less digits than its factorization.

5560954291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 5560954291200 in words is "five trillion, five hundred sixty billion, nine hundred fifty-four million, two hundred ninety-one thousand, two hundred".