5776135303680 has 1440 divisors, whose sum is σ = 24202263241728. Its totient is φ = 1268047872000.

The previous prime is 5776135303661. The next prime is 5776135303709. The reversal of 5776135303680 is 863035316775.

5776135303680 is a `hidden beast` number, since 5 + 7 + 76 + 1 + 3 + 530 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5284661214 + ... + 5284662306.

Almost surely, 2^{5776135303680} 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 5776135303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101131620864).

5776135303680 is an abundant number, since it is smaller than the sum of its proper divisors (18426127938048).

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

5776135303680 is a wasteful number, since it uses less digits than its factorization.

5776135303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5776135303680 in words is "five trillion, seven hundred seventy-six billion, one hundred thirty-five million, three hundred three thousand, six hundred eighty".