5705199360000 has 1800 divisors, whose sum is σ = 24793136828460. Its totient is φ = 1302884352000.

The previous prime is 5705199359987. The next prime is 5705199360019. The reversal of 5705199360000 is 639915075.

5705199360000 is a `hidden beast` number, since 5 + 70 + 519 + 9 + 3 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 5080319439 + ... + 5080320561.

Almost surely, 2^{5705199360000} is an apocalyptic number.

5705199360000 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 5705199360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396568414230).

5705199360000 is an abundant number, since it is smaller than the sum of its proper divisors (19087937468460).

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

5705199360000 is an equidigital number, since it uses as much as digits as its factorization.

5705199360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 5705199360000 in words is "five trillion, seven hundred five billion, one hundred ninety-nine million, three hundred sixty thousand".