5786314786576 has 135 divisors (see below), whose sum is σ = 12238071102549. Its totient is φ = 2649872361600.

The previous prime is 5786314786547. The next prime is 5786314786657. The reversal of 5786314786576 is 6756874136875.

The square root of 5786314786576 is 2405476.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3368414184976 + 2417900601600 = 1835324^2 + 1554960^2 .

It is a super-3 number, since 3×5786314786576³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5786314786499 and 5786314786508.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5667300946 + ... + 5667301966.

Almost surely, 2^{5786314786576} is an apocalyptic number.

5786314786576 is the 2405476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786314786576

5786314786576 is an abundant number, since it is smaller than the sum of its proper divisors (6451756315973).

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

5786314786576 is an equidigital number, since it uses as much as digits as its factorization.

5786314786576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1073 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 73.

The spelling of 5786314786576 in words is "five trillion, seven hundred eighty-six billion, three hundred fourteen million, seven hundred eighty-six thousand, five hundred seventy-six".