5709108813408 has 2304 divisors, whose sum is σ = 24008373043200. Its totient is φ = 1237809807360.

The previous prime is 5709108813407. The next prime is 5709108813409. The reversal of 5709108813408 is 8043188019075.

5709108813408 is a `hidden beast` number, since 5 + 70 + 91 + 0 + 8 + 81 + 3 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (5709108813407) and next prime (5709108813409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709108813403) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20173529235 + ... + 20173529517.

It is an arithmetic number, because the mean of its divisors is an integer number (10420300800).

Almost surely, 2^{5709108813408} is an apocalyptic number.

5709108813408 is a gapful number since it is divisible by the number (58) 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 5709108813408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004186521600).

5709108813408 is an abundant number, since it is smaller than the sum of its proper divisors (18299264229792).

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

5709108813408 is a wasteful number, since it uses less digits than its factorization.

5709108813408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 5709108813408 in words is "five trillion, seven hundred nine billion, one hundred eight million, eight hundred thirteen thousand, four hundred eight".