5706691056000 has 1920 divisors, whose sum is σ = 23548364199360. Its totient is φ = 1368576000000.

The previous prime is 5706691055987. The next prime is 5706691056071. The reversal of 5706691056000 is 6501966075.

5706691056000 is a `hidden beast` number, since 5 + 70 + 6 + 6 + 9 + 10 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23679215880 + ... + 23679216120.

Almost surely, 2^{5706691056000} is an apocalyptic number.

5706691056000 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 5706691056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11774182099680).

5706691056000 is an abundant number, since it is smaller than the sum of its proper divisors (17841673143360).

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

5706691056000 is a wasteful number, since it uses less digits than its factorization.

5706691056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 5706691056000 in words is "five trillion, seven hundred six billion, six hundred ninety-one million, fifty-six thousand".