5677581338880 has 576 divisors, whose sum is σ = 20834552567808. Its totient is φ = 1304212602880.

The previous prime is 5677581338879. The next prime is 5677581338917. The reversal of 5677581338880 is 888331857765.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 103925332 + ... + 103979948.

It is an arithmetic number, because the mean of its divisors is an integer number (36171098208).

Almost surely, 2^{5677581338880} 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 5677581338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417276283904).

5677581338880 is an abundant number, since it is smaller than the sum of its proper divisors (15156971228928).

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

5677581338880 is a wasteful number, since it uses less digits than its factorization.

5677581338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54782 (or 54768 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 69.

The spelling of 5677581338880 in words is "five trillion, six hundred seventy-seven billion, five hundred eighty-one million, three hundred thirty-eight thousand, eight hundred eighty".