5819546656 has 96 divisors (see below), whose sum is σ = 14526812160. Its totient is φ = 2228870400.

The previous prime is 5819546653. The next prime is 5819546657. The reversal of 5819546656 is 6566459185.

It is a junction number, because it is equal to n+sod(n) for n = 5819546597 and 5819546606.

It is not an unprimeable number, because it can be changed into a prime (5819546653) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125361 + ... + 165391.

It is an arithmetic number, because the mean of its divisors is an integer number (151320960).

Almost surely, 2^5819546656 is an apocalyptic number.

5819546656 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 5819546656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263406080).

5819546656 is an abundant number, since it is smaller than the sum of its proper divisors (8707265504).

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

5819546656 is a wasteful number, since it uses less digits than its factorization.

5819546656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40118 (or 40110 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 55.

The square root of 5819546656 is about 76285.9532024081. The cubic root of 5819546656 is about 1798.7178787448.

The spelling of 5819546656 in words is "five billion, eight hundred nineteen million, five hundred forty-six thousand, six hundred fifty-six".