5709828266352 has 560 divisors, whose sum is σ = 19655045806080. Its totient is φ = 1571700672000.

The previous prime is 5709828266273. The next prime is 5709828266353. The reversal of 5709828266352 is 2536628289075.

5709828266352 is a `hidden beast` number, since 5 + 70 + 9 + 82 + 82 + 66 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5709828266352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709828266353) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 579614227 + ... + 579624077.

Almost surely, 2^{5709828266352} 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 5709828266352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827522903040).

5709828266352 is an abundant number, since it is smaller than the sum of its proper divisors (13945217539728).

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

5709828266352 is a wasteful number, since it uses less digits than its factorization.

5709828266352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5709828266352 in words is "five trillion, seven hundred nine billion, eight hundred twenty-eight million, two hundred sixty-six thousand, three hundred fifty-two".