5706905712000 has 512 divisors, whose sum is σ = 20050311490560. Its totient is φ = 1430958080000.

The previous prime is 5706905711987. The next prime is 5706905712047. The reversal of 5706905712000 is 2175096075.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066509325 + ... + 1066514675.

It is an arithmetic number, because the mean of its divisors is an integer number (39160764630).

Almost surely, 2^{5706905712000} is an apocalyptic number.

5706905712000 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 5706905712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025155745280).

5706905712000 is an abundant number, since it is smaller than the sum of its proper divisors (14343405778560).

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

5706905712000 is a wasteful number, since it uses less digits than its factorization.

5706905712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 5706905712000 in words is "five trillion, seven hundred six billion, nine hundred five million, seven hundred twelve thousand".