5711370912000 has 2016 divisors, whose sum is σ = 23639999816160. Its totient is φ = 1365191884800.

The previous prime is 5711370911989. The next prime is 5711370912031. The reversal of 5711370912000 is 2190731175.

5711370912000 is a `hidden beast` number, since 571 + 1 + 3 + 70 + 9 + 12 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2920653656064 + 2790717255936 = 1708992^2 + 1670544^2 .

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

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 223 ways as a sum of consecutive naturals, for example, 11220767746 + ... + 11220768254.

It is an arithmetic number, because the mean of its divisors is an integer number (11726190385).

Almost surely, 2^{5711370912000} is an apocalyptic number.

5711370912000 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 5711370912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819999908080).

5711370912000 is an abundant number, since it is smaller than the sum of its proper divisors (17928628904160).

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

5711370912000 is an equidigital number, since it uses as much as digits as its factorization.

5711370912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 5711370912000 in words is "five trillion, seven hundred eleven billion, three hundred seventy million, nine hundred twelve thousand".