5709727052964 has 1152 divisors, whose sum is σ = 18335032934400. Its totient is φ = 1547115292800.

The previous prime is 5709727052947. The next prime is 5709727053013. The reversal of 5709727052964 is 4692507279075.

5709727052964 is a `hidden beast` number, since 5 + 70 + 9 + 7 + 270 + 5 + 296 + 4 = 666.

It is a super-2 number, since 2×5709727052964² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 383 ways as a sum of consecutive naturals, for example, 44958480669 + ... + 44958480795.

It is an arithmetic number, because the mean of its divisors is an integer number (15915827200).

Almost surely, 2^{5709727052964} is an apocalyptic number.

5709727052964 is a gapful number since it is divisible by the number (54) 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 5709727052964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167516467200).

5709727052964 is an abundant number, since it is smaller than the sum of its proper divisors (12625305881436).

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

5709727052964 is a wasteful number, since it uses less digits than its factorization.

5709727052964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 5709727052964 in words is "five trillion, seven hundred nine billion, seven hundred twenty-seven million, fifty-two thousand, nine hundred sixty-four".