5780493766656 has 1872 divisors, whose sum is σ = 21494879864640. Its totient is φ = 1545067560960.

The previous prime is 5780493766637. The next prime is 5780493766661. The reversal of 5780493766656 is 6566673940875.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86276026335 + ... + 86276026401.

It is an arithmetic number, because the mean of its divisors is an integer number (11482307620).

Almost surely, 2^{5780493766656} is an apocalyptic number.

5780493766656 is a gapful number since it is divisible by the number (56) 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 5780493766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747439932320).

5780493766656 is an abundant number, since it is smaller than the sum of its proper divisors (15714386097984).

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

5780493766656 is an equidigital number, since it uses as much as digits as its factorization.

5780493766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 5780493766656 in words is "five trillion, seven hundred eighty billion, four hundred ninety-three million, seven hundred sixty-six thousand, six hundred fifty-six".