5709685056768 has 1944 divisors, whose sum is σ = 22110310360320. Its totient is φ = 1410180710400.

The previous prime is 5709685056767. The next prime is 5709685056821. The reversal of 5709685056768 is 8676505869075.

It is a happy number.

5709685056768 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 6 + 8 + 50 + 567 + 6 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5709685056696 and 5709685056705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709685056767) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41076870843 + ... + 41076870981.

Almost surely, 2^{5709685056768} 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 5709685056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055155180160).

5709685056768 is an abundant number, since it is smaller than the sum of its proper divisors (16400625303552).

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

5709685056768 is a wasteful number, since it uses less digits than its factorization.

5709685056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 5709685056768 in words is "five trillion, seven hundred nine billion, six hundred eighty-five million, fifty-six thousand, seven hundred sixty-eight".