5706176142240 has 1920 divisors, whose sum is σ = 25028887403520. Its totient is φ = 1195587993600.

The previous prime is 5706176142221. The next prime is 5706176142257. The reversal of 5706176142240 is 422416716075.

5706176142240 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 1 + 7 + 614 + 2 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10952353180 + ... + 10952353700.

It is an arithmetic number, because the mean of its divisors is an integer number (13035878856).

Almost surely, 2^{5706176142240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5706176142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514443701760).

5706176142240 is an abundant number, since it is smaller than the sum of its proper divisors (19322711261280).

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

5706176142240 is a wasteful number, since it uses less digits than its factorization.

5706176142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 5706176142240 in words is "five trillion, seven hundred six billion, one hundred seventy-six million, one hundred forty-two thousand, two hundred forty".