5657079183360 has 768 divisors, whose sum is σ = 20324995891200. Its totient is φ = 1331498188800.

The previous prime is 5657079183323. The next prime is 5657079183377. The reversal of 5657079183360 is 633819707565.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5657079183294 and 5657079183303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2080572081 + ... + 2080574799.

It is an arithmetic number, because the mean of its divisors is an integer number (26464838400).

Almost surely, 2^{5657079183360} 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 5657079183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162497945600).

5657079183360 is an abundant number, since it is smaller than the sum of its proper divisors (14667916707840).

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

5657079183360 is a wasteful number, since it uses less digits than its factorization.

5657079183360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 5657079183360 in words is "five trillion, six hundred fifty-seven billion, seventy-nine million, one hundred eighty-three thousand, three hundred sixty".