5456856241200 has 960 divisors, whose sum is σ = 22838408248320. Its totient is φ = 1080811192320.

The previous prime is 5456856241157. The next prime is 5456856241211. The reversal of 5456856241200 is 21426586545.

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 5456856241200.

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, 759264007 + ... + 759271193.

It is an arithmetic number, because the mean of its divisors is an integer number (23790008592).

Almost surely, 2^{5456856241200} is an apocalyptic number.

5456856241200 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 5456856241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419204124160).

5456856241200 is an abundant number, since it is smaller than the sum of its proper divisors (17381552007120).

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

5456856241200 is a wasteful number, since it uses less digits than its factorization.

5456856241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 5456856241200 in words is "five trillion, four hundred fifty-six billion, eight hundred fifty-six million, two hundred forty-one thousand, two hundred".