5706878664960 has 2160 divisors, whose sum is σ = 23765517490176. Its totient is φ = 1295917056000.

The previous prime is 5706878664937. The next prime is 5706878664973. The reversal of 5706878664960 is 694668786075.

5706878664960 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 8 + 78 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 44936052417 + ... + 44936052543.

Almost surely, 2^{5706878664960} 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 5706878664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882758745088).

5706878664960 is an abundant number, since it is smaller than the sum of its proper divisors (18058638825216).

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

5706878664960 is a wasteful number, since it uses less digits than its factorization.

5706878664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 5706878664960 in words is "five trillion, seven hundred six billion, eight hundred seventy-eight million, six hundred sixty-four thousand, nine hundred sixty".