56384430819912 has 192 divisors, whose sum is σ = 170135434123200. Its totient is φ = 16749828103680.

The previous prime is 56384430819911. The next prime is 56384430819971. The reversal of 56384430819912 is 21991803448365.

56384430819912 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 4 + 430 + 8 + 199 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56384430819912.

It is not an unprimeable number, because it can be changed into a prime (56384430819911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554853987 + ... + 554955597.

It is an arithmetic number, because the mean of its divisors is an integer number (886122052725).

Almost surely, 2^{56384430819912} is an apocalyptic number.

56384430819912 is a gapful number since it is divisible by the number (52) 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 56384430819912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85067717061600).

56384430819912 is an abundant number, since it is smaller than the sum of its proper divisors (113751003303288).

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

56384430819912 is a wasteful number, since it uses less digits than its factorization.

56384430819912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122108 (or 122101 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 56384430819912 in words is "fifty-six trillion, three hundred eighty-four billion, four hundred thirty million, eight hundred nineteen thousand, nine hundred twelve".