5703417720000 has 6720 divisors, whose sum is σ = 31193914752000. Its totient is φ = 975421440000.

The previous prime is 5703417719959. The next prime is 5703417720023. The reversal of 5703417720000 is 277143075.

5703417720000 is a `hidden beast` number, since 570 + 3 + 4 + 17 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 300179879991 + ... + 300179880009.

It is an arithmetic number, because the mean of its divisors is an integer number (4641951600).

Almost surely, 2^{5703417720000} is an apocalyptic number.

5703417720000 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 5703417720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596957376000).

5703417720000 is an abundant number, since it is smaller than the sum of its proper divisors (25490497032000).

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

5703417720000 is a wasteful number, since it uses less digits than its factorization.

5703417720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 5703417720000 in words is "five trillion, seven hundred three billion, four hundred seventeen million, seven hundred twenty thousand".